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For each pair of functions, find f(g(x))

For each pair of functions, find f(g(x))

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Verifying Inverses You can determine whether two <strong>functions</strong> areinverses by <strong>find</strong>ing both <strong>of</strong> their compositions. If both compositionsequal the identity function I(x) = x, then the <strong>functions</strong> are inverse<strong>functions</strong>.Ex. 3 Determine whether <strong>each</strong> <strong>pair</strong> <strong>of</strong> <strong>functions</strong> are inverse <strong>functions</strong>.Explain your reasoning.a. f(x) = 3x + 9 and g(x) = 1/3x ­ 3b. f(x) = 4x 2 and g(x) = 2√x5

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