EasyMathematicsHigh School (11–12)Functions and Calculus › Composite and Inverse FunctionsConceptual

Write h(x) = 1/((3x - 1)²) as a composite of three simple functions.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Write $h(x) = \dfrac{1}{(3x - 1)^2}$ as a composite of three simple functions.

Need a reminder? The key ideaShow

$(g \circ f)(x) = g(f(x))$ : do $f$ first. The domain of $g \circ f$ holds the $x$ in the domain of $f$ whose $f(x)$ is in the domain of $g$ . Usually $g \circ f \neq f \circ g$ .

The worked solution

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Write h(x) = 1/((3x - 1)²) as a composite of three simple functions.

The worked solution

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