Which x-value results in both functions having the same output?

g(x) = x2 - 2x + 3
h(x) = x2 + 3x - 7

A.x=0
B.x=1
C.x=2
D.x=3

x^2 - 2x + 3 = x^2 + 3x - 7

-2 x + 3 = 3 x - 7
-2 x + 10 = 3 x
10 = 5 x
2 = x

now check
x^2 - 2x + 3 = 4 - 4 + 3 = 3
x^2 + 3x - 7 = 4 + 6 - 7 = 3 YEs!!