Question

1. what is the value of the x-intercept of the rational function $f(x) = \frac{3x + 7}{5x - 2}$?

$x = \frac{3}{5}$
$x = \frac{-7}{2}$
$y = \frac{-7}{3}$
$x = \frac{-7}{3}$

Explanation:

Step1: Set numerator to 0

$3x + 7 = 0$

Step2: Solve for x

$3x = -7 \implies x = \frac{-7}{3}$

Answer:

$x = \frac{-7}{3}$