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GIVEN:

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\\[ f(x) = \\simplify{{a}x} \\]

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and

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\\[ g(x) = e^{\\var{r}x} \\]

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and

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\\[ h(x) = \\simplify{ {b}x^2+{c} } \\]

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FIND:  The following compositions of functions 

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Recall that \\[ (f \\circ g)(x) = f(g(x)) \\]

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\\[ (f \\circ g)(x) \\]

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\\[ (g \\circ f)(x) \\]

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\\[ (h \\circ f)(x) \\]

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\\[ (g \\circ h)(x) \\]

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\\[ (h \\circ g)(x) \\]

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\\[ (f \\circ h)(x) \\]

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