Question

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

Answer 1

I think D.

Step-by-step explanation

Answer 2

Part(B) is the correct answer

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.