Answer:
It touches at (6, 0) and (4, 0)
Step-by-step explanation:
Step 1: Factor out the expression
[tex]g(x) = x^2-10x+24[/tex]
[tex]g(x) = x^2 - 6x - 4x + 24[/tex]
[tex]g(x) = (x - 6)(x - 4)[/tex]
Step 2: Solve for x
[tex]x - 6 + 6 = 0 + 6[/tex]
[tex]x = 6[/tex]
[tex]x - 4 + 4 = 0 + 4[/tex]
[tex]x = 4[/tex]
Answer: It touches at (6, 0) and (4, 0)
