What are the x-intercepts of the function below? g(x)=(4x−1)(x+2) (1 point) Responses (0.25, 0) and (-2, 0) (0.25, 0) and (-2, 0) (-0.25, 0) and (2, 0) (-0.25, 0) and (2, 0) (1, 0) and (2, 0) (1, 0) and (2, 0) (-1, 0) and (2, 0)
The x-intercepts of a function occur when the y-value is equal to 0. In this case, to find the x-intercepts of the function g(x)=(4x−1)(x+2), we set g(x) equal to 0 and solve for x.
(4x−1)(x+2) = 0
To find the x-intercepts, we set each factor equal to 0:
4x - 1 = 0
4x = 1
x = 1/4
x + 2 = 0
x = -2
Therefore, the x-intercepts of the function are (1/4, 0) and (-2, 0). This matches with the first option: (0.25, 0) and (-2, 0).