find and simplify the difference quatient of f, f(x+h)-f(x) /h70, for the function. 2) F(x) = x² + (x-1 A. 2h+x+1 C. 2x+h+6 J B. 2x² + 2x + 2xhth ² th-2 h D. 2xth-1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:**
Find and simplify the difference quotient of \( f \), \(\frac{f(x+h) - f(x)}{h}\), \( h \neq 0 \), for the function.

**Function:**
2) \( f(x) = x^2 + 6x - 1 \)

**Options:**
- A. \( 2h + x + 1 \)
- B. \(\frac{2x^2 + 2x + 3x + h + x + 2 + h - 2}{h}\)
- C. \( 2x + h + 6 \)
- D. \( 2x + h - 1 \)
Transcribed Image Text:**Question:** Find and simplify the difference quotient of \( f \), \(\frac{f(x+h) - f(x)}{h}\), \( h \neq 0 \), for the function. **Function:** 2) \( f(x) = x^2 + 6x - 1 \) **Options:** - A. \( 2h + x + 1 \) - B. \(\frac{2x^2 + 2x + 3x + h + x + 2 + h - 2}{h}\) - C. \( 2x + h + 6 \) - D. \( 2x + h - 1 \)
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