If f and g are functions such that m(x) = f(g(x)), g(3) = -4, and g'(3) = 10, what additional information is required to compute m' (3) using the chair rule? Give a specific verbal description or symbolic answer. Then, supply that information (make it up) and calculate m' (3).

Q: Given f(x) = x² – 4x find and simplify f(x

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Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

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Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Determine (f/g)(x)

A: See the attached file

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: b) h(x) - 13 — 2х - х?). c) h(x) = V3 - x 5, d) h(x) = Vx³ + 4x2 + 1.

A:

Q: e) k(x) = (2x-1) ³x

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Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: Consider the following functions: f(x)= x2+3 and g(x) = (1)/(x-4)   1) Find f (g(x)) . You are not…

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Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

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Q: f(x) = x' +x² +1 and g(x) = 4 – x²

A:

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

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Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

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Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Consider the following function: f(x) = 2 8 - 9 - Step 1 of 4: Determine f'(x) and f "(x).

A: on differentiation we get