\[
f(x)=x-3 \text { and } g(x)=x^{2}-2
\]
Step 1 of 2: Find the formula for $(f \bullet g)(x)$ and simplify your answer.
Answer
\[
(f \circ g)(x)=
\]

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $(f \circ g)(x) = \boxed{x^2 - 5}$

Steps

Step 1 ：The formula for $(f \circ g)(x)$, also known as the composition of functions f and g, is given by $f(g(x))$. This means that we substitute $g(x)$ into the function $f(x)$. In this case, $g(x) = x^2 - 2$, so we substitute this into $f(x) = x - 3$ to get $(f \circ g)(x) = (x^2 - 2) - 3$.

Step 2 ：Simplify the expression $(f \circ g)(x) = (x^2 - 2) - 3$ to get $(f \circ g)(x) = x^2 - 5$.

Step 3 ：Final Answer: $(f \circ g)(x) = \boxed{x^2 - 5}$

\[f(x)=x-3 \text { and } g(x)=x^{2}-2\]Step 1 of 2: Find the formula for $(f \bullet g)(x)$ and simplify your answer.Answer\[(f \circ g)(x)=\]

Answer

Popular Problems

\[
f(x)=x-3 \text { and } g(x)=x^{2}-2
\]
Step 1 of 2: Find the formula for $(f \bullet g)(x)$ and simplify your answer.
Answer
\[
(f \circ g)(x)=
\]