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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 Summary

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

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 ...

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