Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$
-$$f ( x ) = 4 x - 15$$
A) 4
B) 15
C) $\frac { 15 } { 4 }$
D) $- 15 \mathrm {~h}$

Question

Quizplus · Accepted Answer

The difference quotient for $f(x) = 4x - 15$ is computed as follows: $\frac{f(x+h) - f(x)}{h} = \frac{(4(x+h) - 15) - (4x - 15)}{h} = \frac{4x + 4h - 15 - 4x + 15}{h} = \frac{4h}{h} = 4$.

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