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

question 124

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = x ^ { 2 } + 8 x - 9$$

• A) \(2 x + h - 9\)
• B) \(2 x + h + 8\)
• C) 1
• D) \(\frac { 2 x ^ { 2 } + 2 x + 2 x h + h ^ { 2 } + h - 18 } { h }\)

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Oil Well

A drilling operation that extracts petroleum from the ground.

Depletion Rate

The rate at which natural resources are consumed or used, often applied in accounting to allocate the cost of a natural resource over its useful life.

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The estimated salvage value of an asset at the end of its useful life, important for depreciation calculations.

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A drilling operation established for the extraction of oil from the earth, constituting a significant part of the oil and gas industry.