Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x)=4/x and g(x)= 4/x

Answer 1

@hartnn can you please write out each step?

Answer 2

f(g(x)) = f(4/x)
= 4/(4/x)
= 4x/4
= x

Answer 3

did i do it right so far?

Answer 4

yes! good :)

now find g(f(x)) in same way :)

Answer 5

g(f(x))= g(x)=4/x
4/(4/x)
4x/4
x

Answer 6

i dont get it, did i do it right

Answer 7

you got 'x' for both f(g(x)) and g(f(x))
that confirms that f and g are inverses of each other!
and yes, you did it correctly :)

Answer 8

i did the second part correctly too?

Answer 9

cause i wrote the same exact thing?..

Answer 10

its not same!
in 2nd part , you actually did g(f(x))
you feel its same because both f and g are same functions!

Answer 11

thank you

Answer 12

welcome ^_^