Question

1. consider the functions $f(x) = 9x$ and $g(x) = 4x - 2$. what is the value of $\frac{f(3)}{g(3)}$?

options:
$\frac{27}{12}$
$\frac{10}{27}$
$\frac{9}{4}$
$\frac{27}{10}$

Explanation:

Step1: Calculate \( f(3) \)

Given \( f(x) = 9x \), substitute \( x = 3 \):
\( f(3) = 9 \times 3 = 27 \)

Step2: Calculate \( g(3) \)

Given \( g(x) = 4x - 2 \), substitute \( x = 3 \):
\( g(3) = 4 \times 3 - 2 = 12 - 2 = 10 \)

Step3: Compute \( \frac{f(3)}{g(3)} \)

Divide \( f(3) \) by \( g(3) \):
\( \frac{f(3)}{g(3)} = \frac{27}{10} \)

Answer:

$\frac{27}{10}$