Which input value produces the same output value for the two functions on the graph? f of x is equal to negative 2 thirds x plus 1 g of x is equal to 1 third x minus 2 Open image in full-screen view

The functions have the same output where their expressions are equal. Set −(2/3)x + 1 = (1/3)x − 2; adding (2/3)x to both sides gives 1 = x − 2, so x = 3. The correct choice is “x is equal to 3.”

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