Question

If f(x) = 6x + 3, find −1 ().

Answer 1

Answer:

$f^{-1}(x)=(1/6)x-(1/2)$

Step-by-step 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

$f^{-1}(x)=y$

$f^{-1}(x)=(1/6)x-(1/2)$