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39 votes
39 votes
Let f(x) = 3x – 3 and g(x) = x + 5. Find f(g(x)) and g(f(x)).

User SWoeste
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1 Answer

25 votes
25 votes

given data:


\begin{gathered} f\mleft(x\mright)=3x-3 \\ g\mleft(x\mright)=x+5 \end{gathered}

to find:


f\mleft(g\mleft(x\mright)\mright)\text{ and }g\mleft(f\mleft(x\mright)\mright)
\begin{gathered} g(x)=x+5 \\ =f(x+5) \\ =3(x+5)-3 \\ =3x+12 \end{gathered}
\begin{gathered} f(x)=3x-3 \\ =g(3x-3) \\ =(3x-3)+5 \\ =3x+2 \end{gathered}

User NoWar
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