Find and Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$

question 113

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = x ^ { 2 } + 7 x - 4$$

• A) \(2 \mathrm { x } + \mathrm { h } + 7\)
• B) \(\frac { 2 x ^ { 2 } + 2 x + 2 x h + h ^ { 2 } + h - 8 } { h }\)
• C) \(2 x + h - 4\)
• D) 1

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