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Find a formula for the composition of given functions

Find the composition function h(x) = (f \circ g)(x) = f(g(x)) of the functions:

    \[ f(x) = x^2, \qquad g(x) = \sqrt{x} \quad \text{if } x \geq 0. \]


We compute h(x) = f(g(x)),

    \begin{align*}  h(x) &= f(g(x)) \\  &= f(\sqrt{x}) \\  &= \left( \sqrt{x} \right)^2 \\  &= x \end{align*}

This is valid for all x \geq 0.

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