Evaluate the difference quotient for the given function. Simplify your answer.f(x) = 1 + 2x − x2,    f(3 + h) − f(3)h

Question

Evaluate the difference quotient for the given function. Simplify your answer.f(x) = 1 + 2x − x2,    f(3 + h) − f(3)h
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Solution 1

Sure, let's break this down step by step.

  1. First, we need to find f(3 + h). To do this, we substitute x = 3 + h into the function f(x) = 1 + 2x - x^2. This gives us:

    f(3 + h) = 1 + 2(3 + h) - (3 + h)^2 = 1 + 6 + 2h - (9 + 6h + h^2) = 1 + 6 + 2h - 9 - 6h - h^2
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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