Let g(x) x2+4. Find a function f that produces the given composition (fo g(x)= x+8x2+27

Q: For f(x)=2X2 and g(x)=x+1 , find the composition (f  o g )(x) = f(g(x)).

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Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: 17. Find the composition of two functions f(x) with g(x) a) f (x) = x³ - 9 and g(x) = V(x – 3)² b)…

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Q: f(x) = 4x^3 − 3x^2 − 18x + 5. (e) Find the inflection points of the graph of f, if any.

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Q: Find a general formula for f (n)(x). f (x) = xe−x

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Q: 5. If f(x) = 2x² - 3 and g(x) = 2 sin x, determine (fog)(x) and (fog)(2), 0≤x≤ 2n.

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Q: Suppose f : ℝ ®ℝ is given by f(x) = x3 and g : ℝ ®ℝ is given by g(x) = 3x + 2. Then determine the…

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Q: Given g(x) = In(7x5 + æ), the derivative g'(x) is 5x4 35x4 +1 7x5 + I O 7z5 +x 7x +I 35x4 +1 O 35x*…

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Q: 2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

A: Consider the given functions.

Q: Let f(x) = ln(x² + 16x + 68) f'(x) =

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Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x<=0 and F(x)= x^2+2x+k if x>0 if…

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Q: Find a general formula for f (n)(x). f (x) =x-2

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Q: Given that f(x) =x+4 and g(x)=x -x, find (f+g)(1), if it exists. -X,

A: Given two functions f(x) and g(x). Then (f+g)(x)=f(x)+g(x)

Q: Find formulas for f • g and g • f and state the domains of the composition: a) f(x) = x² g(x) = VT-…

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Q: Find a formula for f®(x) if f(x) =In(x – 1).

A: Given that,

Q: Let g(x)=x^2+3. Find a function f that produces the given composition.  (f o g) (x) = x^2

A: Given information:The given function is

Q: Let f(x + y) = f(x) f(y) for all x and y. Suppose that f(3) = 3 and f'(0) = 11, then f'(3) is given…

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=−3x+4,g(x)=−x+4, and h(x)=−3x2−4x+3, what is k′(x)?

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Q: Find a general formula for f("(x) if f(x) = 11x²e*. pln)(x) %D

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Q: Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x),…

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Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

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Q: For the real-valued functions g(x): = notation. (8 h)(x) = 0 Domain of g h : 0 x-4 and h(x) = 4x+7,…

A: Given, g(x)=(x-4)/(x+1) h(x)=4x+7

Q: 11. Let f(x) = 3x + 1 and g(x) =-x- 2. Find (fo g)(4).

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Q: Find the value(s) of k such that the function x≤ 2 (x³ + k x³-8 f(x) = x > 2 ) x-2 is continuous at…

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Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

Q: let f(x) = (6x+3) and g(x)=(-2x+5) *use chain rule to calculate h'(x) where h(x)=f(g(x)

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Q: 2. If f(x) = x - 2 and g(x) = x2 + 2x, what is the composition g(f(x))? A) x2 - 2x B) x3 - 4x…

A: Given  f(x)=x-2g(x)=x2+2x To find g[f(x)]

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

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Q: Help 1

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Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: 2. Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at r =…

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Q: 5. For the functions f (x) x²+1 and g(x) = Vx +2 , simplify the composition x²-2 f (g(x)) and state…

A: We are solving the first question and for the next question post the question again and also mention…

Q: For the real-valued functions f (x)3D2x-1 and g (x) =Vx-4, find the composition f og and s

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Q: Find the range of f(x)=x-5x+6. O (-00, 1/4] O -1/4, co) O (-00, 00)

A: Range of Quadratic Functions Graphically : The range of a function y = f(x) is the set of values y…

Q: form the graph of f(x) into th 5) f(x) = x³ g(x) = -(x – 2)° %3D 3 %3D

A: We have to find

Q: For the given functions f and​ g, find the indicated composition.   ​f(x)=4x^2+2x+5​; ​g(x)=2x−3…

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Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: For the given functions f and g , find the indicated composition. g(x) = 2x - 5 f(x) = 4x + 2x + 8,…

A: Given that,

Q: Let ​f(x)= 5x − ​1, ​h(x)= -x − 2.   Find ​(f◦​h)(−4​).

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Q: The function h(x)=1x+9 can be expressed in the form f(g(x)), where g(x)=(x+9), and f(x) is defined…

A: Given that h(x) can be expressed in the form of f(g(x)) .  We have to find f(x)

Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: 3. For f(x) = x' + 14, find all x such that f(x) = -13.

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Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: Let h(x)=f(x)g(x). If f(x)=2x2+1,g(1)=0, and g′(1)=−1, what is h′(1)?

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Q: Find the requested composition functions.  given f(x)=4x^2+3x+6 and g(x)=3x-4, find (gof)(x)

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Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: Perform the indicated operation of the composition of functions. h(x) = -2x² – 5 g(x) = 2x - 1 Find…

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Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function