Given $f(x)=3x+2$ and $g(x)=x^2+4x$ , how do you find (gof)(2)?

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Answer 1 · 2016-12-09T19:06:26

$(g o f)(2)=68$

$f(x)=color(red)(3x+2)$

$g(x)=color(red)(x)^2+4$

$"first ,find (g o f)(x)"$

$"in equation g(x); write '(3x+2)' instead of 'x'"$

$(g o f)(x)=(3x+2)^2+4$

$(g o f)(2)=(3*2+2)^2+4$

$(g o f)(2)=8^2+4$

$(g o f)(2)=64+4$

$(g o f)(2)=68$

Given f(x)=3x+2f(x)=3x+2 and g(x)=x^2+4xg(x)=x^2+4x, how do you find (gof)(2)?