Find and simplify each of the following for f(x) = 4x^2 - 6x + 8. (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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Step 1: Find f(x+h)** Given: f(x) = 4x^2 To find f(x+h), we substitute (x+h) in place of x in the function f(x): f(x+h) = 4(x+h)^2 f(x+h) = 4(x^2 + 2xh + h^2) f(x+h) = 4x^2 + 8xh + 4h^2 Therefore, **f(x+h) = 4x^2 + 8xh + 4h^2** ** Show more…
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