Question

If f(x)...............

Answer 1

Explanation:

`f(x) = (x + 6)/(5)`

`\:`

`y = (x + 6)/(5)`

`(y + 6)/(5) = x`

`y + 6 = 5* x`

`y + 6 = 5x`

`y = 5x - 6`

`{f}^( - 1) (x) = 5x - 6`

The answer is D.

Answer 2

The inverse is 5x-6

Explanation:

To find the inverse of a function

y = ( x+6) /5

Exchange x and y

x = ( y+6)/5

Solve for y

Multiply each side by 5

5x = (y+6)/5 *5

5x = y+6

Subtract 6 from each side

5x-6 = y+6-6

5x-6 =y

The inverse is 5x-6