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Let $f(x) = 4x + c$ and $g(x) = cx + 2.$ If $f(g(x)) = 12x + d,$ then find $d$

Guest Aug 28, 2019

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$f(g(x)) = 4g(x) + c = \\ 4(cx+2)+c = \\ 4cx+(8+c) = 12x+d\\~\\ 4c=12\\ 8+c=d\\~\\ c=3\\ d=11$

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Rom Aug 28, 2019

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