Question

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

Answer 1

The answer to this question is D.) x = 3

Explanation:

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Answer 2

• x = 3

Explanation:

• f(x) = - 2/3x + 1
• g(x) = 1/3x - 2

Solution 1

• It is the intersection of the lines, as per the graph it is the point (3, -1), so the answer is x = 3

Solution 2

Same output means Intersection of outputs, which means f(x) = g(x)

• f(x) = g(x)
• -2/3x + 1 = 1/3x -2
• 1/3x + 2/3x = 1 + 2
• x = 3