Question

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

f of x equals four divided by x. and g of x equals four divided by x
heeeeelp

Answer 1

well right now we have

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

find f(g(x))

Answer 2

would you do 4(4/x)

Answer 3

should be

4/(4/x)

Answer 4

sorry that sent twice

Answer 5

since f(x) = 4/x and g(x) = 4/x, replace "x" with "4/x" to get 4/(4/x)

Answer 6

is that equal to x?

Answer 7

well, you tell me.

do you remember the rule for dividing by fractions?

Answer 8

oh yes. it would be equal to x lol

Answer 9

yup! f(g(x)) = x, and you can probably figure out that g(f(x)) also equals x since it's the same math process

Answer 10

much appreciation @Vocaloid thank you