Question

Find the inverse of the following


F(x)=-3/4x+6

Answer 1

`{f}^( - 1) (x)= - (4)/(3) x + 8`

Explanation:

`f(x) = - (3)/(4) x + 6`

`y = - (3)/(4) x + 6`

`x = - (3)/(4) y + 6`

`- (3)/(4) y + 6 = x`

`- 3y + 24 = 4x`

`- 3y = 4x - 24`

`\boxed{\green{ {f}^( - 1) (x)= - (4)/(3) x + 8}}`