Question

Find the inverse of the function: f(x)=3x−6

A f−1(x)=−2/3x
B f−1(x)=1/3x+2
C f−1(x)=−1/3x+12

Answer 1

B.
`{f}^( - 1) (x) = (1)/(3) x + 2`

Explanation:

`f(x) = 3x - 6`

`y = 3x - 6`

`x = 3y - 6`

`3y - 6 = x`

`3y = x + 6`

`y = (1)/(3) x + 2`

`\boxed{\green{ {f}^( - 1) (x) = (1)/(3) x + 2}}`