Question

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

f(x) = quantity x minus nine divided by quantity x plus five. and g(x) = quantity negative five x minus nine divided by quantity x minus one.

Answer 1

f(x)=x-9/x+5
g(x)=-5x+9/x-1 right.

Answer 2

first do x-9/x+5(5x+9/x-1)

Answer 3

5x-9/x-1

Answer 4

first do f(g(x)) = x
so you will have
f(x)=(-5x+9/x-1)-9/(-5x+9/x-1)+5

solve that and tell what you get