Let $$ f(x)=\frac{3}{4} x+10 $$ $$ \quad g(x)=x^{2}-3 $$ (8) at is the value of $$ f(-2-g(3)) $$ ?

Question

UpStudy AI · Accepted Answer

To find the value of $$ f(-2 - g(3)) $$, we'll follow these steps:

1. **Evaluate $$ g(3) $$:**
   $$
   g(x) = x^2 - 3 \
   g(3) = 3^2 - 3 = 9 - 3 = 6
   $$

2. **Calculate the argument for $$ f $$:**
   $$
   -2 - g(3) = -2 - 6 = -8
   $$

3. **Evaluate $$ f(-8) $$:**
   $$
   f(x) = \frac{3}{4}x + 10 \
   f(-8) = \frac{3}{4}(-8) + 10 = -6 + 10 = 4
   $$

**Final Answer:**  
$$ f(-2 - g(3)) = 4 $$
$$ f(-2 - g(3)) = 4 $$

Let \( f(x)=\frac{3}{4} x+10 \) \( \quad g(x)=x^{2}-3 \) (8) at is the value of \( f(-2-g(3)) \) ?