Find each of the following for ( f(x) = 5x^2 - 5x + 9 ): (A) ( f(x + h) ) (B) ( f(x + h) - f(x) ) (C) ( frac{f(x + h) - f(x)}{h} )
Added by Kendra D.
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Step 1: Find \( f(x + h) \) To find \( f(x + h) \), we substitute \( x + h \) into the function \( f(x) = 5x^2 - 5x + 9 \): \( f(x + h) = 5(x + h)^2 - 5(x + h) + 9 \) \( f(x + h) = 5(x^2 + 2hx + h^2) - 5x - 5h + 9 \) \( f(x + h) = 5x^2 + 10hx + 5h^2 - 5x - 5h + 9 Show more…
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