f(x) = 3x + 1
and
g(x) = 5x - 7
equate both the equation
3x + 1 = 5x - 7
5x - 3x = 7 + 1
2x = 8
x = 8/2 = 4
x = 4
put x = 4 in f(x) = 3x + 1
f(4) = 3(4) + 1 = 12 + 1 = 13
thus, the intersection point is (4, 13)
that is option B.
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