Let $g ( x ) = \frac { 1 } { \sqrt { x + 15 } }$

question 27

Multiple Choice

Let $g ( x ) = \frac { 1 } { \sqrt { x + 15 } }$ .
Evaluate the expression $\frac { g ( x ) - g ( - 11 ) } { x + 11 }$ and then simplify the result. $g ( x ) = \frac { 1 } { \sqrt { x + 15 } } , \frac { g ( x ) - g ( - 11 ) } { x + 11 }$

• A) \(\frac { 2 \sqrt { x + 15 } - x - 15 } { 2 ( x + 11 ) ( x + 15 ) }\)
• B) \(\frac { 2 \sqrt { x + 15 } + x - 15 } { 2 ( x - 11 ) ( x + 15 ) }\)
• C) \(\frac { 2 \sqrt { x + 15 } + x - 15 } { 2 ( x + 11 ) ( x + 15 ) }\)
• D) \(\frac { 2 \sqrt { x + 15 } - x - 15 } { 2 ( x - 11 ) ( x + 15 ) }\)
• E) undefined

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