An important calculation in calculus is the evaluation of the expression $$\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$$
-$f ( x ) = 4 x - 4$
A) 4
B) $- 4$
C) $- 4 + \mathrm { h }$
D) $4 + \mathrm { h }$

Question

Quizplus · Accepted Answer

The expression $\frac { f ( x + h ) - f ( x ) } { h }$ simplifies to 4 when $f(x) = 4x - 4$. This is because $f(x + h) = 4(x + h) - 4 = 4x + 4h - 4$, and $f(x) = 4x - 4$. Subtracting $f(x)$ from $f(x + h)$ gives $4h$, and dividing by $h$ gives 4.

An Important Calculation in Calculus Is the Evaluation of the Expression