SOLUTION: Hi, I'm Nicolene, I am having some trouble with a question that states: Show that f(x) = 1/(x-2) and f⁻¹(x) = (2x+1)/x are inverses of each other by showing that a)

Algebra ->  Functions -> SOLUTION: Hi, I'm Nicolene, I am having some trouble with a question that states: Show that f(x) = 1/(x-2) and f⁻¹(x) = (2x+1)/x are inverses of each other by showing that a)       Log On


   

Question 885328: Hi, I'm Nicolene,
I am having some trouble with a question that states: Show that f(x) = 1/(x-2) and f⁻¹(x) = (2x+1)/x are inverses of each other by showing that
a) f(f⁻¹(x)) = x
b) f⁻¹(f(x)) = x
In part a) I got to f(f⁻¹(x))= f((2x+1)/x) = 1/(2x+1/x)-2
I am stuck on finding the LCD of the fraction to get the equation to equal x. Can you please help me or explain how to get the LCD?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You made a mistake in association.

f%28f%5E-1%29=1%2F%28%28fInverse%29-2%29
1%2F%28%282x%2B1%29%2Fx-2%29---- Do you see the change?