# Algebra - Composition

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

(d) (g o g) (0)

f(x) = x3/2; g(x) = 2 / x + 1

Â *note: x3/2 is actually a square root number but I couldn't figure out how to make the numbers small.

https://brainmass.com/math/basic-algebra/14250

#### 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.

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