# Composite function

Obtain the composite functions f(g(x)) and g (f(x)), and find all (if any) values of x such that f(g(x)) = g (f(x))

f(x)= the square root of 2x+1, g(x)= 1-3x.

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#### Solution Preview

Solution. Since f(x)=(2x+1)^(1/2), g(x)=1-3x

we have

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#### Solution Summary

This shows how to find composite functions, and find values of x such that f(g(x)) = g (f(x)).

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