Question

Which input value produces the same output value for the two functions on the graph?

f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 1. g(x) equals StartFraction 1 Over 3 EndFraction x minus 2. A coordinate grid with two lines. One line labeled f(x) passes through (negative 3, 3), (0, 1), and point (3, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 3), (0, negative 2), and point (3, negative 1).

x = –3
x = –1
x = 1
x = 3

Answer 1

x = 3

Solve -2/3 x + 1 = 1/3 x - 2 → 3 = x, and both lines pass through (3, −1).