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f(x) = x^2, g(x) = a/(b+x) example where a and b are random from a set

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Simple examples combining functions

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If $f(x) = x^2$ and $g(x) = \\frac{ \\var{a}}{\\simplify{{b}+x}}$, what is:

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$g(f(x))$

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$f(g(x))$

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$f(f(x))$

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$f(g(3))$

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$g(f(-1)$

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