Question

Find and simplify each of the following for f(x) = 3x² – 5x + 9.
(A) f(x + h)

Answer 1

To find and simplify f(x + h) for the given function f(x) = 3x² – 5x + 9, substitute x + h for x and simplify the expression to 3x² + 6hx + 3h² – 5x – 5h + 9.

Step-by-step explanation:

To find and simplify f(x + h) for the given function f(x) = 3x² – 5x + 9, you substitute x + h in place of x.

So, we have: f(x + h) = 3(x + h)² – 5(x + h) + 9.

Expanding and simplifying, we get: f(x + h) = 3x² + 6hx + 3h² – 5x – 5h + 9.

This is the simplified expression for f(x + h).