Question

How do you inverse this function?

Answer 1

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.

Answer 2

I know that you have to change f(x) to y, then switch the y and the x, but I'm not sure what to do after that.

Please and thank you :)

Answer 3

does it really say
\[f(x)=6(x+2)-3\]??

Answer 4

because if it does, the first thing i would do is rewrite it as
\[f(x)=6x+9\] and take the inverse of that one, pretty quickly

Answer 5

Yeah it does say that, which is what had me confused.

Question: How do you get 9?

Answer 6

\[x=6y+9\\
x-9=6y\\
\frac{x-9}{6}=y\\
f^{-1}(x)=\frac{x-9}{6}\]

Answer 7

\[f(x)=6(x+2)-3=6x+12-3=6x+9\]

Answer 8

I got'cha! Thank you!

@satellite73