Question

Help Needed!!!..............................

Answer 1

Answer:

Part(B) is the correct answer

Step-by-step explanation:

Given functions are

f(x) = $4x^3+5$   and g(x) = $\sqrt[3]{x-5/4}$

So both are inverse of each other

Since Definition of inverse function is

If a function f(x) is  mapping from x to y , then the inverse function  of f(x) maps

y back to x.

Solution

suppose

y = f(x)

y = $4x^3+5$

in order to find inverse of f(x)

interchange the variables x and y

x = $4y^3+5$

Now solve for y

Subtract 5 from both sides we get

$4y^3$ = x-5

Divide both sides by 4 we get

$y^3$ = (x-5)/4

$y = \sqrt[3]{x-5/4}$

so this is the inverse of the f(x) and also from this we see that  is $g(x) = \sqrt[3]{x-5/4}$

This is Answer.

Answer 2

Answer:

I think D.

Step-by-step explanation