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pre calculus

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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

  • pre calculus - ,

    what's the problem?

    f(x) = 5/(2-x) so
    f(g) = 5/(2-g)
    = 5/(2-[2 - 5/x])
    = 5/(2 - 2 + 5/x)
    = 5/(5/x)
    = 5*x/5
    = x

    Do likewise for g(f)

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