Use the given functions to find the requested informatio Find $$ (f \div g)(x) $$. $$ f(x)=-x+5 $$ and $$ g(x)=x+10 $$

Question

UpStudy AI · Accepted Answer

**Step 1. Write the expression for $$ (f \div g)(x) $$:**

$$
(f \div g)(x) = \frac{f(x)}{g(x)}
$$

**Step 2. Substitute the given functions into the expression:**

$$
f(x) = -x + 5 \quad \text{and} \quad g(x) = x + 10
$$

Thus,

$$
(f \div g)(x) = \frac{-x+5}{x+10}
$$

**Step 3. Include the domain restriction:**

Since division by zero is undefined, we require:

$$
x+10 \neq 0 \quad \Longrightarrow \quad x \neq -10
$$

**Final Answer:**

$$
\boxed{(f \div g)(x) = \frac{-x+5}{x+10}, \quad x \neq -10}
$$
$$ (f \div g)(x) = \frac{-x + 5}{x + 10}, \quad x \neq -10 $$

Use the given functions to find the requested informatio Find \( (f \div g)(x) \). \( f(x)=-x+5 \) and \( g(x)=x+10 \)