Find and simplify each of the following for f(x) = 6x^2 - 7x + 6. (A) f(x + h) (B) f(x + h) - f(x) (C) (f(x + h) - f(x)) / h (A) f(x + h) = (Do not factor.)
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To do this, we will replace every x in the function f(x) = 6x^2 + 7x + 6 with (x + h). f(x + h) = 6(x + h)^2 + 7(x + h) + 6 Now, we will expand and simplify the expression: f(x + h) = 6(x^2 + 2xh + h^2) + 7x + 7h + 6 f(x + h) = 6x^2 + 12xh + 6h^2 + 7x + 7h + 6 Show more…
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