This math topic focuses on function composition, specifically finding the output of composite functions like c(r(x)), r(p(x)), b(r(x)), y(m(x)), b(m(x)), p(n(x)), and n(d(x)). Each of these problems involves substituting one function into another and simplifying the resulting expression to evaluate the composite function at given inputs. The skill practiced here helps deepen understanding of function operations and their interactions, which is fundamental in algebra and precalculus studies.

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Function Composition - Inputs to Composite Function

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Find the composite function of y(m(x))?

given:m(x)=1x2y(x)=22xy(m(x))=?\begin{align*}\text{given:}&\\m(x) &= -1\cdot x^2\\y(x) &= -2^{2x}\\y(m(x)) &= ?\end{align*}

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