Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$
-$$f ( x ) = \frac { x - 10 } { x + 3 }$$
A) $\frac { 14 } { ( x + 3 ) ( x - 3 ) }$
B) $- \frac { 13 } { x ( x + 3 ) }$
C) $\frac { 13 ( x + h + 3 ) } { ( x + 3 ) }$
D) $\frac { 13 } { ( x + h + 3 ) ( x + 3 ) }$

Question

Quizplus · Accepted Answer

The difference quotient simplifies to $\frac{13}{(x + h + 3)(x + 3)}$ after performing algebraic manipulations and simplifications.

Compute and Simplify the Difference Quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0

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