Question

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

f of x equals eight divided by x and g of x equals eight divided by x

Answer 1

f(x)=8/x
g(x)=8/x is that right?

Answer 2

yes

Answer 3

Replace the x in f(x) with the whole function g(x) and then do the same with with g(x). If both times you can simplify the function down to equal x, then they are inverses.

Answer 4

well then you just plug in

f(g(x)) = x

f(x)=8/x
g(x)=8/x

first lets do f
f(8/x)=8/x = 8/(8/x)= 8* x/8 =x

Answer 5

so that is is true and same goes for g

g(8/x)=8/x= 8/(8/x) = x cuzz the 8 cancels

Answer 6

thanks youu(: