Let f(x) = 4x and g(x) = 9x'2 . Find (fg)(x) and (x) Then evaluate fg and for x =9. (fg) (x) = :(fg)(9) = D %3D (x) = (9). State the domain of (fg)(x) and (x)

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

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Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

Q: f(x)=-6x+3 find f(1/2)

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Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: f(x) = 11 - x f-1(2) =

A:

Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: 4x2-9x+2 Find a functionf such that f'(x) = and f(1) = 0. %3D

A:

Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

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Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

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Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Find the value of x

A: