pre calculus
posted by anon on .
verify functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x.
f(x)= 5/(2 x)
g (x) = 2  5/x

what's the problem?
f(x) = 5/(2x) so
f(g) = 5/(2g)
= 5/(2[2  5/x])
= 5/(2  2 + 5/x)
= 5/(5/x)
= 5*x/5
= x
Do likewise for g(f)