Given two functions f and g, the denoted f º g, is defined by (fºg) (x)

Q: The function h(x) = (x + 4)° can be expressed in the form f(9(x)) where f(x) x°, and g(x) is defined…

A: Given, hx = x+45  and  fgx = hx fx = x5 We have to find the function gx.

Q: Consider the functions f(x) and g(x), for which f(0) = 2, g(0) = 5, f'(0) = 10, and g'(0) = 5. Find…

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Q: Differentiate the following function 3 - 1 f(x) = sin (x).

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Q: The function h(x) = 1 can be expressed in the form f(g(x)) where g(x) = (x – 6) and х — 6 f(x) is…

A: Givenh(x)=1x-6h(x)=f(g(x))⇒f(g(x))=1x-6replace g(x) by x-6⇒f(x-6)=1x-6

Q: Given two functions f and g, the , ____________, ________ denotedf ∘ g, is defined by (f ∘ g) (x) =…

A: The given statement is  Given two functions f and g, the , ____________, ________ denotedf ∘ g, is…

Q: The function h(x) = (x + 8) can be expressed in the form f(g(x)), where f(x) = x, and g(x) is…

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Q: Express the function h(x) in the form x – 1 fo g. If g(x) = (x – 1), find the function f(x). Your…

A: Given,           The function hx=1x-1 in the form f∘g and gx=x-1.

Q: Given f(x) = x2 + x + 1  and h(x) = 5x + 2,  evaluate the composite function. f[h(x)]

A: (FOh)(x)=F(h(x))

Q: Suppose H (x) = (2-2x)*. Find two functions f and g such that (f og) (x)=H(x).

A: H(x)=(fog)(x)=f(g(x))

Q: -f(x)=Vx

A: Let's find.

Q: The function h(x) = (x+5)° can be expressed in the form f(g(x)) where f(x) = r, and g(x) is defined…

A: The given function h(x)=x+53

Q: 10. Given the functions f(x) = x² – 3 and g(x) = Vx, find the following. - a) (f o g)(x) b) (go…

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

A: Given:- The function h(x) =1/(x-1) can be expressed in the form f(g(x)) where g(x) = (x-1) To…

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A: To Determine: define f∘gx Given: we have two functions f and g  Explanation: we have two functions f…

Q: The function h(x) (x + 5)° can be expressed in the form f(g(x)), where f(x) = x°, and g(x) is…

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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: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

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Q: 17) Find functions f and g so that f •g = H x - 2 H(x) = 3

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Q: h(x)=(g∘f)(x). h(x)=(4+3x)^7 f(x)= g(x)=

A: Here only we have the function h(x) and relationship connecting all the three functions. So here we…

Q: Find (g ∘ f)(x) and (f ∘ g)(x) for the given functions f and g. f(x) = x2 + 5x − 2,    g(x) = x + 3

A: Given, f(x) = x2 + 5x − 2,    g(x) = (x + 3) (g ∘ f)(x) = g(f(x)) = x2 + 5x − 2 +3 =>(g ∘ f)(x) =…

Q: find (f◦g)(x) and (g◦f)(x) for the pair of functions and give their domains.  f(x)=1/x^4, g(x)=4-x

A:

Q: The function h(x) = (x + 9)ʻ can be expressed in the form f(g(x)) where f(x) = x', and g(x) is %3D…

A: From the given data, we can write h(x) = f(g(x))

Q: 1 The function h(x) can be expressed in the form 4 f(g(x)) where g(x) (x – 4) and f(x) is defined…

A: We have to find f(x).

Q: Find the indicated composite for the pair of functions. Given f(x) = *-* and g(x) = 5x + 6, find (g.…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: The function h(x) = (x + 8)° can be expressed in the form f(g(x)) where f(x) = 2°, and g(æ) is…

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Q: The function h(x) : 1 can be expressed in the form f(g(æ)) where g(x) = (a +6) and f(x) is defined…

A: Givenh(x)= 1x+6    ....(1)f(g(x)) where g(x)= x+6     ....(2)

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: 1 The function h(x) can be expressed in the form f(g(x)), where g(x) = (x + 3), and f(x) is x + 3…

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Q: . Given two functions f and g, the___________ ____________ , denotedf ∘ g, is defined by (f ∘ g)(x)…

A: The step-by-step solution of the given question is ................

Q: f (x) — V2х — 1, g(x) — Зx? + 1,

A: See attached file for a step by step explanation to find the gof and its domain.

Q: . Given the functions f(x) = x² – 2x, g(x) = find the following functions and their corresponding…

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

A: Given functions are

Q: Let f(x) = z and g(a) = f (2). Find g' (x) by findingf (x) and then taking the derivative. O g' (x)…

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Q: Given  f(x) = x2 + x + 1  and  h(x) = 3x + 2,  evaluate the composite function. f[h(x)]

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Q: B- Gives a formula for a function y = f(x). In each case, findf" (x) and identify the domain and…

A: Explanation of the answer is as follows

Q: Consider the following function. F(x) = x5/7 (a) Make a sign diagram for the first derivative. f (x)…

A: (a) Calculate the first derivative for f(x) and the critical points for f(x).…

Q: Consider the functions f(x) and g(x). for which f(0) =4, g(0)=7, f'(0) = -6 and g'(0) = -1

A: Differentiating h(x) with respect to x, we get

Q: Find two functions f(x) and g(x) such that f(g(x))=x but g(f(x)) does not equal x

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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: Given f(x) = x2 + x + 1 and h(x) = 2x + 3, evaluate the composite function. f[h(−1)]

A: Given information:The given function are shown below:

Q: If f(x)=10sin(x)+3cos(x), find a function g so that g''(x)=f(x) given that g(0)=0 and g(2?)=12.…

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Q: The function h(x)= (x+4)^5 can be expressed in the form f(g(x)) where f(x)= x^5, and g(x) is defined…

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Q: If you write the function h(x) = tan(2x) in the form h(x) = f(g(x)). then what is the function g(x)?…

A: Given ,  If we write the function h(x) = tan(2x) in the form h(x) = f(g(x))  We have to write the…

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

A: We have given

Q: Suppose that f and g are differentiable functions, and suppose that you know the following values of…

A: Using Quotient rule of derivatives.

Q: Let f (x) = and g(x) = 3 – VE. Find the exact value of (f + g)(4).

A:

Q: Find f[g(x)] and g[f(x)] for the given functions. f(x) = - x° +5, g(x) = 4x + 6 %3D

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Q: Express the function h(x) = (x+ 1)° in the form fo g. If f(x) = 2°, find the function g(x). Your…

A: Given :

Q: The function h(x) = (x + 6)° can be expressed in the form f(g(x)), where f(x) z, and g(x) is defined…

A: Consider the function hx=x+65 Let fx=x5, then fgx=gx5 Here, the objective is to find the function gx

Q: The function h(x) = (x + 8)' can be expressed in the form f(g(x)) where f(x) = z', and g(x) is…

A: Solve the following