Question

I need help with inverses, what is the inverse of f if f(x)=3sqrt(x-2)

Answer 1

just swap x and y\[x = 3\sqrt{y - 2}\] and now make y the subject

Answer 2

f-1(x)=2+ In(x)/In(3)

Answer 3

ingore the posted solution from @loveyourlife.... it's wrong

Answer 4

please, keep in mind that for existence of you function has to be:
\[x \ge 2\], after that we can write:
if y=3sqrt(x-2), then

Answer 5

Okay than I am sorry if it is wrong but I tried to help that's all sorry again !

Answer 6

\[x=f ^{-1}(y)=2+\frac{ y ^{2} }{ 9 }\]

Answer 7

So that would make the answer ?

Answer 8

@loveyourlife you are welcome!!

Answer 9

well go and try to follow the methods provided... Open Study is about helping understanding and not giving answers

Answer 10

@michele_laino if he's wrong what's right?

Answer 11

since @campbell_st is right!, then I will go to explain my answer:
now f(x) is:
\[y=3\sqrt{x-2}\]
please @Claydirt square both sides of that equation

Answer 12

please try, you have to perform this calculus:
\[(y)^{2}=(3\sqrt{x-2})^{2}\]
please continue @Claydirt

Answer 13

I got f^-1(x)=x^3+2 is that correct ?

Answer 14

No, I think it is a wrong answer, please try to perform the calculus above that I began

Answer 15

left side is equals to:
\[y ^{2}\]
and right side is equals to:
\[9*(...)\]
please continue

Answer 16

it is equals to
\[9(x-2)\]
so:
\[y ^{2}=9(x-2)\]
please solve that equation in order to find x, and you will get your answer