What are the x-intercepts of g(x)?
To find the x-intercepts of a function, we set the function equal to zero and solve for x.
Given the function g(x) = x^2 - 4x + 3.
Setting g(x) = 0 and solving for x:
0 = x^2 - 4x + 3
Factoring the quadratic equation:
0 = (x - 3)(x - 1)
Setting each factor equal to zero:
x - 3 = 0 and x - 1 = 0
x = 3 and x = 1
Therefore, the x-intercepts of g(x) are x = 1 and x = 3.