Question

Which of the following is the inverse of the function given below


`f(x) = (x + 2)/(7)`
​

Answer 1

p(x) = 7x - 2

Answer 2

`{f}^( - 1) (x) = 7x - 2`

Step-by-step explanation

The given function is:

`f(x) = (x + 2)/(7)`

Let

`y = (x + 2)/(7)`

Interchange x and y.

`x= (y + 2)/(7)`

Solve for y by first multiplying through by 7.

`7x = y + 2`

Add -2 to both sides of the equation.

`7x - 2 = y`

Or

`y = 7x - 2`

Hence the inverse function is:

`{f}^( - 1) (x) = 7x - 2`