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6-10.

Algebraically determine where the graphs of f(x) = 2x2 – 3x + 1 and g(x) = 4x – 2 intersect. Homework Help ✎

Use the Equal Values Method since we want to determine where f(x) = x(x).

2x2 − 3x + 1 = 4x − 2

Set the equation equal to 0.

2x2 − 7x + 3 = 0

Factor the polynomial.

(2x − 1)(x − 3) = 0

Use the Zero Product Property to solve for x.

x = ½, 3

Substitute the x-values back into one of the original functions to find their corresponding y-values.