If f(x) = 3x - 5 and g(x) = 7x + 2, what is (f*g)(x)?

21x^2 -29x - 10

Step by step explanation:

Multiply each term of the first function with the terms of the other function:

(3x * 7x) + (3x * 2) + (-5 * 7x) + (-5 * 2)

(21x^2) + (6x) + (-35x) + (-10)

21x^2 + 6x - 35x - 10

Next, combine like terms. The first term is unalike the others, so it stays the same. The second and third terms in that equation are alike, so you can add them together and you get -29x. The last term is -10, which is not like any of the other terms, so it is unaffected. So you're left with 21x^2 -29x -10 as your product.

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step-by-step explanation:

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