This math topic focuses on the skill of function composition, specifically determining the output of a composite function for given component functions. It involves substituting one function into another and evaluating the result. Multiple choice questions provide expressions of composed functions, requiring the correct formulation of these composite functions from the algebraic expressions given. This topic aligns with introductory concepts in the unit of functions, addressing the broader subjects of composition and inversion of functions.

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Function Composition - Inputs to Composite Function

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Find the composite function of z(p(x))?

given:z(x)=1x+5p(x)=2x+4z(p(x))=?\begin{align*}\text{given:}&\\z(x) &= 1\cdot x+5\\p(x) &= 2\cdot x+4\\z(p(x)) &= ?\end{align*}

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