Question

Find the inverse f(x)=8-9x

Answer 1

`{f}^( - 1) (x) = - (1)/(9) x + (8)/(9)`

Explanation:

`f(x) = 8 - 9x`

`y = 8 - 9x`

`x = 8 - 9y`

`8 - 9y = x`

`- 9y = x - 8`

`y = - (1)/(9) x + (8)/(9)`

`\boxed{\green{{f}^( - 1) (x) = - (1)/(9) x + (8)/(9)}}`