Problem

If $f(x)=5 x$ and $g(x)=3 x-6$, find $(f g)(x)$.
\[
(\mathrm{fg})(\mathrm{x})=\square
\]

Answer

Expert–verified
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Answer

\(\boxed{f(g(x)) = 15x - 30}\)

Steps

Step 1 :\(f(g(x)) = f(3x - 6)\)

Step 2 :\(f(g(x)) = 5(3x - 6)\)

Step 3 :\(f(g(x)) = 15x - 30\)

Step 4 :\(\boxed{f(g(x)) = 15x - 30}\)

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