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For $f(x)=9 x$ and $g(x)=\frac{1}{9} x$, find $(f \circ g)(x)$ and $(g \circ f)(x)$. Then determine whether $(f \circ g)(x)=(g \circ f)(x)$.

What is $(f \circ g)(x)$ ?
\[
(f \circ g)(x)=\square
\]

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Final Answer: $(f \circ g)(x)=\boxed{x}$

Steps

Step 1 ：The question is asking for the composition of the functions f and g, denoted as $(f \circ g)(x)$. This means we need to substitute $g(x)$ into $f(x)$. In this case, $g(x) = \frac{1}{9} x$, so we need to substitute this into $f(x) = 9x$.

Step 2 ：The result shows that $(f \circ g)(x) = x$. This means that when we substitute $g(x)$ into $f(x)$, we get back the original input x.

Step 3 ：Final Answer: $(f \circ g)(x)=\boxed{x}$

Points: 0 of 1SaveFor $f(x)=9 x$ and $g(x)=\frac{1}{9} x$, find $(f \circ g)(x)$ and $(g \circ f)(x)$. Then determine whether $(f \circ g)(x)=(g \circ f)(x)$. What is $(f \circ g)(x)$ ?\[(f \circ g)(x)=\square\]

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Points: 0 of 1
Save
For $f(x)=9 x$ and $g(x)=\frac{1}{9} x$, find $(f \circ g)(x)$ and $(g \circ f)(x)$. Then determine whether $(f \circ g)(x)=(g \circ f)(x)$.

What is $(f \circ g)(x)$ ?
\[
(f \circ g)(x)=\square
\]