The first question asks us to find the y-intercept of the function $g(x) = (x-4)(5x+2)$. The second question asks us to find the x-intercepts of the same function $g(x) = (x-4)(5x+2)$.

1. Problem Description

The first question asks us to find the y-intercept of the function $g(x) = (x-4)(5x+2)$. The second question asks us to find the x-intercepts of the same function $g(x) = (x-4)(5x+2)$.

2. Solution Steps

For Question 1:

To find the y-intercept, we need to find the value of $g(x)$ when $x=0$.

$g(0) = (0-4)(5(0)+2) = (-4)(2) = -8$.

Therefore, the y-intercept is -

8.

For Question 2:

To find the x-intercepts, we need to find the values of $x$ such that $g(x) = 0$. This means we need to solve the equation $(x-4)(5x+2) = 0$.

The product of two factors is zero if and only if at least one of the factors is zero. Therefore, either $x-4=0$ or $5x+2=0$.

If $x-4=0$, then $x=4$. So, $(4,0)$ is an x-intercept.

If $5x+2=0$, then $5x = -2$, so $x = -\frac{2}{5}$. So, $(-\frac{2}{5}, 0)$ is an x-intercept.

Thus, the x-intercepts are $(4,0)$ and $(-\frac{2}{5}, 0)$.

3. Final Answer

Question 1: -8

Question 2: (4,0) and (-2/5, 0)