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VICMath MethodsQuick questions
Unit 1: Functions, relations and graphs
Quick questions on Inverse and composite functions (VCE Maths Methods Unit 1)
4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is treating $f^{-1}$ as $1/f$?Show answer
$f^{-1}$ is the inverse function (different concept from reciprocal). $(2x + 1)^{-1}$ in inverse-function notation gives $(x - 1)/2$, not $1/(2x+1)$.
What is forgetting to restrict the domain?Show answer
$f(x) = x^2$ has no inverse over all real $x$, but $f$ restricted to $x \ge 0$ has inverse $f^{-1}(x) = \sqrt{x}$.
What is confusing composite functions with multiplication?Show answer
$f \circ g$ is not $fg$.
What is domain of composite?Show answer
The output of $g$ must lie in the domain of $f$.
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