Question

for \(f(x)=log_3(x-2)\) find \(f^{-1}(x)\)

Answer 1

\[\log_3(y-2)=x\] solve for \(y\) in two steps

Answer 2

woah woah woah....what?

Answer 3

1) rewrite in equivalent exponential form
2) add 2 to both sides

Answer 4

where did you get \(\log_3(y-2)=x\)?

Answer 5

this is the way you are usually taught to find an inverse function right?
if say \(f(x)=2x+3\) then to find \(f^{-1}(x)\) you write
\[x=2y+3\] and solve for \(y\)

Answer 6

ohhh...k i get it...gimme a sec

Answer 7

i just did the same thing

Answer 8

so it would be
\(3^x=y-2\)\[3^x+2=y\]\[f^{-1}=3^x+2\]

Answer 9

thanks! @satellite73 :)

Answer 10

yw