To solve the problem $(f \div g)(3)$, we need to follow these steps:
1.
Understand the notation: $(f \div g)(3)$ means we need to find the value of the function $f(x)$ divided by the function $g(x)$, and then evaluate this at $x = 3$.
2.
Substitute $x = 3$ into $f(x)$:
\[
f(3) = 3(3)^2 + 7(3) - 1
\]
Calculate each term:
\[
3(3)^2 = 3 \times 9 = 27
\]
\[
7(3) = 21
\]
So,
\[
f(3) = 27 + 21 - 1 = 47
\]
3.
Substitute $x = 3$ into $g(x)$:
\[
g(3) = 3 - 3 = 0
\]
4.
Divide $f(3)$ by $g(3)$:
\[
(f \div g)(3) = \frac{f(3)}{g(3)} = \frac{47}{0}
\]
Since division by zero is undefined, the expression $(f \div g)(3)$ is undefined.
Final Answer: undefined
Parent Tip: Review the logic above to help your child master the concept of function operations and composition worksheet.
