Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
-$$f ( x ) = 4 x - 9$$
A) $- 9 h$
B) 9
C) $\frac { 9 } { 4 }$
D) 4

Name: Compute and simplify the difference quotient \[\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0\] -\[f ( x ) = 4 x - 9\] A) $- 9 h$ B) 9 C) $\frac { 9 } { 4 }$ D) 4
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Quizplus · Accepted Answer

The difference quotient for $f(x) = 4x - 9$ is computed as follows: $$\frac{f(x+h)-f(x)}{h} = \frac{(4(x+h)-9)-(4x-9)}{h} = \frac{4x+4h-9-4x+9}{h} = \frac{4h}{h} = 4.$$

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 $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$