What are the x-intercepts of g(x)?

Answer 1

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.