Question

find and simplify f(x + h). simplify your answer. f(x) = -8x² + 9x - 7 f(x + h) =

Explanation:

Step1: Substitute $x+h$ into $f(x)$

$f(x+h) = -8(x+h)^2 + 9(x+h) - 7$

Step2: Expand $(x+h)^2$

$(x+h)^2 = x^2 + 2xh + h^2$, so:
$f(x+h) = -8(x^2 + 2xh + h^2) + 9(x+h) - 7$

Step3: Distribute coefficients

$f(x+h) = -8x^2 - 16xh - 8h^2 + 9x + 9h - 7$

Step4: Combine like terms (no more like terms)

$f(x+h) = -8x^2 - 16xh - 8h^2 + 9x + 9h - 7$

Answer:

$-8x^2 - 16xh - 8h^2 + 9x + 9h - 7$