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Suppose that the functions F and G are defined for all real numbers X as follows

Suppose that the functions F and G are defined for all real numbers X as follows-example-1

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(f*g)(x) = (x-4)(2x+1) = 2x² + x - 8x - 4 = 2x² - 7x - 4

(f-g)(x) = x-4 - (2x+1) = (x-4)-2x-1 = -x - 5

(f+g)(3) = 3 - 4 + 2*3 + 1 = -1 + 6 + 1 = 6

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