Suppose that f has an inverse and f(4) = –1, f'(4) : If 11 금 what is g'(-1)?

Q: c) If cos(2x + 7), then the inverse function f(x) = d) If In(1+x/3), then the inverse function…

A: Given that f(x)=cos(2x+π) and f(x)=ln(1+x/3). We need to find the inverse function f-1(x).

Q: If f(x) = f' (x) for all æ, then f(x) = = f" (x) for all x. True False

A: f(x) = f'(x) for all x Then f(x) = f"(x)  for all x

Q: If f(x)=x−8, find the inverse function f^1(x).

A: Consider the given function,   Inverse function: if a function f(x) is mapping to x to y, then the…

Q: The derivative of (x3 - 4x)>x is obviously 2x for x  0, because (x3 - 4x)>x = x2 - 4 for x …

A:

Q: If f(x) is a constant function, then f'(x) is zero. True False

A:

Q: Find the derative: yain Jx2+4x+1 derivative.

A:

Q: If f is one-to-one and f(1) = 5, f(3) = 7, and f(8) : - 10, find f-'(7), ƒ¯'(5), and f¯'(-10).

A: f is one to one and given  f(1)=5    therefore f-1(5)=1 f(3)=7    therefore f-1(7)=3 f(8)=-10…

Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: A B C D E F f(x) X

A: To determine the points at which exactly two of fx, f'x and f''x are zero.

Q: Find (f-1 )'(7)without finding the inverse function where f(x) = 5 − 2x3

A: Given function : fx=5-2x3. Let us consider y=5-2x3,  Replace x by y and y by , we get: ⇒ x=5-2y3…

Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

A:

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

A:

Q: 1 3. Given f (x) =-x + 4: 3 a) Determine the inverse. I 12] b) State the range of f (x). [ /1] c)…

A:

Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

A:

Q: Let f: A →B and g: B →C be functions. Suppose that f and g have inverses. Prove that g ◦ f has an…

A:

Q: 1. The functions below are inverse functions. f(z) = 2x + 5 2-5 g(x) = 2 True O False

A: Given the functionf(x)=2x+5