Questions: Find (f circ g)(x) for the indicated functions and simplify.
f(x)=8 x+4, g(x)=6/(x+4)
(f circ g)(x)=
(Simplify your answer.)
Transcript text: Find $(f \circ g)(x)$ for the indicated functions and simplify.
\[
\begin{array}{l}
f(x)=8 x+4, g(x)=\frac{6}{x+4} \\
(f \circ g)(x)=\square
\end{array}
\]
(Simplify your answer.)
Solution
Solution Steps
To find (f∘g)(x), we need to substitute g(x) into f(x). This means replacing every instance of x in f(x) with g(x). After substitution, simplify the resulting expression.
Step 1: Substitute g(x) into f(x)
To find (f∘g)(x), we substitute g(x)=x+46 into f(x)=8x+4. This gives us:
f(g(x))=8(x+46)+4
Step 2: Simplify the Expression
Simplify the expression obtained from the substitution: