Question

If f(x) = 6x + 3, find −1 ().

Answer 1

`f^(-1)(x)=(1/6)x-(1/2)`

Explanation:

we have

`f(x)=6x+3`

Find the inverse function
`f^(-1)(x)`

step 1

Let

y=f(x)

`y=6x+3`

step 2

Exchanges variables, x for y and y for x

`x=6y+3`

step 3

isolate the variable y

`x=6y+3`

`6y=x-3`

`y=(1/6)x-(1/2)`

step 4

Let

`f^(-1)(x)=y`

`f^(-1)(x)=(1/6)x-(1/2)`