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    Algebra - Composition

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    For the given functions f and g, find: (a) the composition of (f o g) (4)  (b) (g o f) (2)  (c)( f o f)(1)  
    (d) (g o g) (0)

    f(x) = x3/2; g(x) = 2 / x + 1
     *note: x3/2 is actually a square root number but I couldn't figure out how to make the numbers small.

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    Solution Preview

    a) (fog)(4) means to substitute the whole term g(x) into f(x)
    that is to say,
    fog-> (2/(x+1))^3/2
    (f o ...

    Solution Summary

    Operations on two functions are performed and their composition is found.