tell me if they are inverses of each other.A) f(x)=3x-5 and f(g)=(x-5)/3 B) f(x)=2/(1-3x) and g(x)=(2-x)/3x.

Question

pls show me how to determine if they are inveres of each other.

Answer 1

They are not inverse of each other.
A) f(x) = 3x - 5 => 3x = f(x)+5 => x = [ f(x) + 5 ] / 3
now we have the inverse function : g(x) = (x + 5 ) / 3

B) f(x) = 2 / (1 - 3x ) => 1-3x = 2 / f(x) => x=[ f(x) - 2 ] / 3f(x)
so the inverse function is :g(x) = (x-2)/3x

Answer 2

yikes, it's you again...didn't i tell you these equations give me migraines?? are you trying to make my eyes fall out, or what? ;)