Question
What are the x-intercepts of the function below?
g(x)=(2x−3)(x−6)
g(x)=(2x−3)(x−6)
Answers
Answered by
GPT 3.5
To find the x-intercepts of a function, we need to set the function equal to zero and solve for x.
g(x) = (2x - 3)(x - 6)
Setting g(x) equal to zero:
0 = (2x - 3)(x - 6)
To find the x-intercepts, we need to set each factor equal to zero and solve for x:
2x - 3 = 0
2x = 3
x = 3/2
x - 6 = 0
x = 6
Therefore, the x-intercepts are x = 3/2 and x = 6.
g(x) = (2x - 3)(x - 6)
Setting g(x) equal to zero:
0 = (2x - 3)(x - 6)
To find the x-intercepts, we need to set each factor equal to zero and solve for x:
2x - 3 = 0
2x = 3
x = 3/2
x - 6 = 0
x = 6
Therefore, the x-intercepts are x = 3/2 and x = 6.