Question

I'm not sure how to do this at all. Please help! Show that f(x) and g(x) are inverses of each other. f(x)=1/x+1 and g(x)=1-x/x
I know that you must set it to f(g(x)) and g(f(x)) but im not sure how to solve each

Answer 1

exactly like that

Answer 2

so take f(x), where there is an "x" replace the x with the g(x), so replace the x with "1-x/x" an then work out the various divisions and you will end up with just x. the function has been undone

Answer 3

thank you! i was unsure about the various divisions tho.

Answer 4

you will end up with (1-x)/(x) + 1, all underneath 1, a good thing to remember is 1 = 1/1

Answer 5

thanks!