Question

DOMAIN of f(x)^-1 if f(x) = 3/x - 2

Answer 1

boy u gotta pay attention more

Answer 2

Y Im Here LOL

Answer 3

by f(x)^-1, do you mean the inverse function, or the reciprocal of the function?

Answer 4

Inverse

Answer 5

The domain of f^-1 is the range of f
can you take it from here?

Answer 6

the domain of the inverse function is the range of your original function i.e. domain \(f^{-1}\) is the range of \(f\)
finding the range of \(f(x)=\frac{3}{x-2}\) is not trivial, but it is all real numbers except 0

Answer 7

Ok

Answer 8

reason being that a fraction is only zero if the numerator is, and your numerator here is 3, so it is never 0

you can also find the expression for \(f^{-1}\) and then see directly what the domain is

Answer 9

Thanks Alot

Answer 10

do you know how to find \(f^{-1}\) explicitly ?

Answer 11

Yea

Answer 12

then once you do that you should get \(f^{-1}(x)=\frac{1}{x}+2\) and you can see directly that the domain is all real numbers except 0