Question

Please help! functions operations.

Answer 1

The Answer is A. 3. :D

Answer 2

3

Explanation:

Use the property:

`f^(-1)(f(x))=x`

This implies that;

`f^(-1)(f(3))=3`

The correct choice is the first option.

Or see it in details below:

Given

`f(x)=9x+1`

substitute x=3, to obtain;

`f(3)=9(3)+1=28`

Let
`y=9x+1`

Interchange x and y.

`x=9y+1`

Solve for y.

`x-1=9y`

`(x-1)/(9)=y`

This implies that;

`f^(-1)(x)=(x-1)/(9)`

`f^(-1)(f(3))=f^(-1)(28)`

`f^(-1)(28)=(28-1)/(9)`

`f^(-1)(28)=(27)/(9)=3`