Question

Let f(x) = 3x^2 – 2x + n and g(x) = mx^2 – nx + 2. The functions are combined to form the new functions h(x) = f(x) - g(x) and j(x) = f(x) + g(x). Point (6, 2) is in the function h(x), while the point (-2, 10) is in the function j(x). Determine the exact values of m and n.

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Answer 1

Take a look at

https://www.jiskha.com/questions/1829624/let-f-x-3x-2-2x-n-and-g-x-mx-2-nx-2-the-functions-are-combined-to-form

and you should have no trouble.