Answer:
Explanation:
The y-intercept of g(x) is 3 * 2 = 6.
To find the x-intercepts of g(x), we need to find the values of x that make g(x) equal to 0. Since g(x) = 2f(2x + 3), this means we need to find the values of x that make f(2x + 3) equal to 0. Therefore, we can find the x-intercepts of g(x) by solving the equation f(2x + 3) = 0 for x.
Since the x-intercepts of f(x) are at 2 and -4, this means that the equation f(x) = 0 has solutions at x = 2 and x = -4. Substituting these values into the equation f(2x + 3) = 0, we get:
f(2(2) + 3) = 0
f(4 + 3) = 0
f(7) = 0
and
f(2(-4) + 3) = 0
f(-8 + 3) = 0
f(-5) = 0
Therefore, the x-intercepts of g(x) are at x = 7/2 and x = -5/2. These are the only intercepts of g(x) that we can determine for certain.