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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:

    \[ f(x) = x+1, \qquad g(x) = x^2 -2x. \]


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

    \begin{align*}  h(x) &= f(g(x)) \\  &= f(x^2 - 2x) \\  &= (x^2 - 2x) + 1 \\  &= (x-1)^2 \end{align*}

This is valid for all x \in \mathbb{R}.

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