Algebra 1 Test 392 Part 2 f(x)= 9x^3 2x^2 − 5x 4 and g(x) = 5x^3 −7x 4 what is f(x)−g(x)?Example f(x) = 2x3 and g(x) = x 2 "x" is just a placeholder To avoid confusion let's just call it "input" f(input) = 2(input)3 g(input) = (input) 2 Let's start (g º f)(x) = g(f(x)) First we apply f, then apply g to that result (g º f)(x) = (2x3) 2 What if we reverse the order of f and g?Math Input NEW Use textbook math notation to enter your math Try it
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Suppose that f(x)=x^2 and g(x)=2/5x^2 which statement best compares
Suppose that f(x)=x^2 and g(x)=2/5x^2 which statement best compares-If {eq}f(x) = x^2 {/eq} and {eq}g(x) = x 1 {/eq}, what is {eq}f(g(x)) {/eq}?Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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1 What is (f−g)(x)?Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history From the given graph it is clear that the vertex of f(x) and g(x) are same, ie,(0,0) But the graph of g(x) compressed vertically If k>1, then graph of g(x) stretched vertically and if k
(f@g)(0)=2 >"substitute "g(x)=4x1" into "f(x) rArrf(4x1) =(4x1)^23(4x1) =16x^28x112x3 =16x^24x2 rArr(f@g)(x)=16x^24x2 "to evaluate "(f@g)(0)" substituteF (g (2)), g (x)=2x1, f (x)=x^2 \square!Now, that last example is not to be said it can't be done, but it involves completing the square to obtain f(x) = (x2) 2 2, then inversing it so that you get f1 (x) = 2sqrt(x2) However, there is another way that doesn't rely so much on informality and will work whether or not you can figure out exactly what you did with exactly one x
F(x)=x 4 −x 2 9 g(x)=x 3 3x 2 12 2 What is (f⋅g)(x)?It is not clear what the limit is Let g(x) = cos x^2, f(x) = √x , and α, β (α < β) be the roots of the quadratic equation 18x^2 – 9πx π^2 = 0 asked in Mathematics by Nisa (598k points) jee;
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BL Srivastava Answered 2 years ago Author has 46K answers and 21M answer views This is simple provided you know about the composition of functions Here f (x) = 2x 5 = y (let), then g (f (x)) = g (y) = cos (y/2) 3y = cos ( (2x 5)/2) 3 (2x 5) = cos (x 5/2) 6x 15 114K viewsIf a horizontal line intersects the graph of f(x) in more than one point, then f(x) is not onetoone The reason f(x) would not be onetoone is that the graph would contain two points that have the same second coordinate – for example, (2,3) and (4,3) That would mean that f(2) and f(4) both equal 3, and onetoone0 votes 1 answer Let u be a vector coplanar with the vectors a=2i3jk and vector b= jk If vector u is perpendicular to vector a and vector ub=24,
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Or the value of the function evaluated at 2x Giving a name f to a function for the function using independant variable x will be named as f (x), to be read, "the function f of x" Shown alone, f and x are not factors, but are a complete nameL'Hopital's Rule Consider the limit lim x → a f(x) g(x) If both the numerator and the denominator are finite at a and g(a) ≠ 0, then lim x → a f(x) g(x) = f(a) g(a) lim x → 3 x2 1 x 2 = 10 5 = 2 But what happens if both the numerator and the denominator tend to 0?F(g(x))=(1/x1)21 No solutions found Rearrange Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation f(g(x))=(1/x1)21 No solutions found Rearrange Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
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The answer is x^39x^227x29First, take (x3) and plug it into F(x) From that you break up (x3)^3 into three binomial because it is a 3 degree, and then you tack the 2 along sideIn this video we learn about function composition Composite functions are combinations of more than one function In this video we learn about f(g(x)) and gEvery element x of GF(2) satisfies x 2 = x (ie is idempotent with respect to multiplication);
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To find the answers, I can either work symbolically (like in the previous example) and then evaluate, or else I can find the values of the functions at x = 2 and then work from there It's probably simpler in this case to evaluate first, so f (2) = 2 (2) = 4 g (2) = (2) 4 = 6 h (2) = 5 – (2) 3 = 5 – 8 = –3Use "x" as the variable like this Examples sin(x) 2x−3;Axis of Symmetry x = 2 x = 2 Directrix y = −9 4 y = 9 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with 1 1 in the expression f ( 1) = ( 1) 2 − 4 ⋅ 1 2 f ( 1) = ( 1) 2 4 ⋅ 1 2
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Get an answer for 'If f(x) = 2x3 and g(x) = x^2 2 find fog(x) and gof(x)' and find homework help for other Math questions at eNotes Search this site Go iconquestionSolution Steps g ( x ) = f ( x 2 ) 2 g ( x) = − f ( x 2) 2 Use the distributive property to multiply f by x2 Use the distributive property to multiply − f by x 2 \left (f\right)x2\left (f\right)2 ( − f) x 2 ( − f) 2 Multiply 2 and 1 to get 2 Multiply 2 and − 1 to get − 2Left 13 units, down 2 units right 13 units, down 2 units left 13 units, up 2 units right 13 units, up 2 units
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2*f (x) means two multiplied by the function f f (2x) means the function at 2x;Every element x of GF(2) satisfies x x = 0 and therefore −x = x;The expression $g^2(x)$ means $g(g(x))$ To write this out with your specific $g$, we get $$g(g(x)) = 3g(x) 1$$Now we substitute again $$g(g(x)) = 3g(x) 1 = 3(3x1) 1$$Then simplify that Share
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Write f(x) = √5 − x2 as the composition of two functions Solution We are looking for two functions, g and h, so f(x) = g(h(x)) To do this, we look for a function inside a function in the formula for f(x) As one possibility, we might notice that the expression 5 − x2 is the inside of the square root= 2x 3 x 2 2 The domain of (f g)(x) consists of all xvalues that are in the domain of both f and g In this example, f and g both have domain consisting of all real numbers, therefore (f g)(x) also has domain consisting of all real numbers The Difference of Two Functions B (1/4x)^2 will widen the parabola C 4x^2 is too wide to be g(x) D (16x)^2 is too narrow to be g(x) A is the correct answer When graphed on desmos com / calculator it shows this is the correct answer I hope this helped!
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Get an answer for 'If f(x)= 2/(x3) and g(x)= 1/x then what is (gof)(x)?' and find homework help for other Math questions at eNotesComposite Function A composite function is a function which is made by combining two or more than two functionsIf we replace x by g ( x), we then have f ( g ( x)) = 2 g ( x) 1 But we also know that g ( x) = x 2 − 2, so we Continue Reading A So we have f ( x) = 2 x 1 and g ( x) = x 2 − 2 That basically means that whatever the value of x, f ( x) = 2 x 1 Specifically, if x = g ( − 1), f ( g ( − 1)) = 2 g
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F(x)=x 2 2x−6 g(x)=x 4 3 3 jbouyer Ex 13, 6 Show that f −1, 1 → R, given by f(x) = 𝑥/(𝑥 2) is oneone Find the inverse of the function f −1, 1 → Range f (Hint For y ∈ RangeI'll give you a hint to get you started If
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1 Answer AJ Speller (f ∘ g)(x) = f (g(x)) = f (x 2) = (x 2)2 Click on the link below to see another example If f (x) = x2 and g(x) = x 2, what is (g ∘ f)(x)?SOLUTION Find (fg) (x), (fg) (x), (f*g) (x) and (f/g) (x) for each f (x) and g (x) 2 f (x)= 8x^2 g (x)=1/x^2 I'm having trouble understanding what i have to do, please help You can put this solution on YOUR website!Eq1) or equivalently if the following equation holds for all such x f (x) − f (− x) = 0 {\displaystyle f(x)f(x)=0} Geometrically, the graph of an even function is symmetric with respect to the y axis, meaning that its graph remains unchanged after reflection about the y axis Examples of even functions are The absolute value x ↦ x , {\displaystyle x\mapsto x,} x ↦ x 2
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This means that the characteristic of GF(2) is 2;Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is Example 16 Let f(x) = x2and g(x) = 2x 1 be two real functions Find (f g) (x), (f – g) (x), (fg) (x), ("f" /𝑔) (x) f(x) = x2 & g(x) = 2x 1 (f g) (x) = f
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And "( f o g)(x)" means "f (g(x))" That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into f The process here is just like what we saw on the previous page, except that now we will be using formulas to find values, rather than just reading the values from lists of points Given f(x) = 2xG*(x)(2*f*(x))=0 Step 1 Pulling out like terms 11 Pull out like factors gx 2xf = x • (g 2f) Equation at the end of step 1 Step 2 Theory Roots of a product 21 A product of several terms equals zero When a product of two or more terms equalsFree functions composition calculator solve functions compositions stepbystep
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Answer to if f(x)=2x^2 and g(x)=1/x2 , find a) fg b) gf c)ff d) gg By signing up, you'll get thousands of stepbystep solutions to yourCos(x^2) (x−3)(x3) Zooming and Recentering To zoom, use the zoom slider To the left zooms in, to the right zooms out When you let go of the slider it goes back to the middle so you can zoom moreShow all of your steps and write your final answer in factored form
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Given the functions, f(x) = x2 2 and g(x) = 4x 1, perform the indicated operation When applicable, state the domain restriction g(f(x)) 4 x2 1 16 x2 3 4 x2 7 16 x2 8 x 3 Please help I thinks that it is 16 x2 3 If g(x) = x2 x 1 and (gof)(x) = 4x2 10x 5, then f(5/4) is equal to (1) 3/2 (2) 1/2 (3) 3/2 (4) 1/2 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesFind (g o f) (2x)
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Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g g(x−2) = (x−2)2 g ( x 2) = ( x 2) 2 Combine the opposite terms in (x− 2)2 ( x 2) 2 Tap for more steps Add − 2 2 and 2 2 g ( x − 2) = x 0 g ( x 2) = x 0 Add x x and 0 0 g ( x − 2) = x g ( x 2) = xStart studying Evaluating Functions Learn vocabulary, terms, and more with flashcards, games, and other study toolsCalculate (f ∘ g) (x) using f(x) = 2x 3 and g(x) = x 2 1, Solution (f ∘ g) (x) = f(g(x)) = 2 (g(x)) 3 = 2(x 2 1) 3 = – 2 x 2 5 Example 10 Given f(x) = √ (x 2) and g(x) = ln (1 – x 2), find domain of (g ∘ f) (x) Solution (g ∘ f) (x) = g(f(x)) ln (1 – f(x) 2) = ln (1 – √ (x 2) 2) ln (1 – (x 2))
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Justine graphs the function f(x) = (x 7)2 1 On the same grid, she graphs the function g(x) = (x 6)2 3 Which transformation will map f(x) on to g(x)?Y = f(x) = x^2 means the independent variable in the equation is x y = f(a) = a^2 means the independent variable in the equation is a the rules are the same the only difference is the variable that the equation is working with that is why when you say f(x) = x^2, f(x) becomes the dependent variable and x is the independent variable2 3 x y g(x) = 3 x2 f(x) = x2 1 Using the washer method, the volume integral is p Z 1 1 g(x)2 f(x)2 dx = p Z 1 1 (3 x2)2 (x2 1)2 dx 1(b) (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the line x = 3 Do not evaluate the integral SOLUTION Now using the shell method, the
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(f º g)(x) = f(g(x)) First we apply g, then apply f to that resultFirst write the composition in any form like \( (go f) (x) as g (f(x)) or (g o f) (x^2) as g (f(x^2))\) Put the value of x in the outer function with the inside function then just simplify the function Although, you can manually determine composite functions byThis is an instance of Fermat's little theorem GF(2) is the only field with this property (Proof if x 2 = x, then either x = 0 or x ≠ 0
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