Find and simplify the difference quotient of f, $$\frac { f ( x + h ) - f ( x ) } { h }$$ $\mathbf { h } \neq 0$ , for the function.
-f(x) = 5x - 8
A) 0
B) $5 + \frac { 10 ( \mathrm { x } - 8 ) } { \mathrm { h } }$
C) 5
D) $5 + \frac { - 16 } { \mathrm {~h} }$

Question

Quizplus · Accepted Answer

The difference quotient for the function $f(x) = 5x - 8$ simplifies to $5$, as the $h$ in the denominator cancels out with the $h$ in the numerator when applying the formula, leaving a constant rate of change of $5$.

Find and Simplify the Difference Quotient of F f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​

Find and Simplify the Difference Quotient of F $\frac { f ( x + h ) - f ( x ) } { h }$