$$ g(a)=3 a+2 $$ $$ f(a)=2 a-4 $$ Find $$ \left(\frac{g}{f}\right)(3) $$

Question

UpStudy AI · Accepted Answer

To find $$\left(\frac{g}{f}\right)(3)$$, we need to evaluate both functions $$g(a)$$ and $$f(a)$$ at $$a = 3$$ and then take their ratio.

Given:
$$
g(a) = 3a + 2
$$
$$
f(a) = 2a - 4
$$

1. **Evaluate $$g(3)$$:**
$$
g(3) = 3(3) + 2 = 9 + 2 = 11
$$

2. **Evaluate $$f(3)$$:**
$$
f(3) = 2(3) - 4 = 6 - 4 = 2
$$

3. **Compute the ratio $$\frac{g(3)}{f(3)}$$:**
$$
\left(\frac{g}{f}\right)(3) = \frac{11}{2}
$$

**Final Answer:**
$$
\frac{11}{2}
$$
$$\frac{11}{2}$$

\( g(a)=3 a+2 \) \( f(a)=2 a-4 \) Find \( \left(\frac{g}{f}\right)(3) \)