The function f(x) = (x + 7)³ is one-to-one. a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f(f'(x) =x and f (f(x)) =x.

Q: After a recent flood the water level of a river is 43 feet, measurements show that it is receding at…

A: Given, W = fd = -3d +43  We have to find the formula for inverse function

Q: Find the derivative of g(a) 32x-1 5 1 6x²-3x+1/

A:

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: Find the inverses of y=(1-e-x)/(1+e-x).

A:

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

A:

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

A:

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0<x<2, at the point (-3,1)…

A: To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1), where (-3,1)…

Q: x+8 is one-to-one. For the function, X-4 The function f(x) = 1 a. Find an equation for f'(x), the…

A: Given the rational function

Q: Find the derivative of the function. Simplify your answer as much as possible f(x) = e(4x*) + x

A: NOTE: Refresh your page if you can't see any equations. . take derivative