E-CO01 · Two orders and a restricted range
Let \(f(x)=2x-3\) and \(g(x)=x^2+2\), both defined on \(\mathbb R\).
Find simplified expressions for \(fg(x)\) and \(gf(x)\).
Find all real inputs where the two composites agree.
Let \(h\) be the restriction of \(fg\) to \(-2\le x\le3\). Find the range of \(h\).
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