Evaluate the function at the indicated value.
-Find $\frac { f ( x + h ) - f ( x ) } { h }$ when $f ( x ) = 4 x - 3$
A) $4 + \frac { - 6 } { h }$
B) $4 + \frac { 8 ( x - 3 ) } { h }$
C) 0
D) 4

Question

Quizplus · Accepted Answer

The expression simplifies to $4$ because when you substitute $f(x + h) = 4(x + h) - 3$ and $f(x) = 4x - 3$ into the given formula and simplify, the terms involving $h$ cancel out, leaving a constant $4$.

Evaluate the Function at the Indicated Value f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​

Evaluate the Function at the Indicated Value $\frac { f ( x + h ) - f ( x ) } { h }$