Given $f ( x ) = 6 x + 4$ , evaluate $\frac { f ( x + 5 ) - f ( 5 ) } { x }$ .
A) $6$
B) $\frac { 6 x + 30 } { x }$
C) $\frac { 6 } { x }$
D) 5
E) $- \frac { 6 } { x }$

Question

Quizplus · Accepted Answer

First, calculate $f(x+5) = 6(x+5) + 4 = 6x + 30 + 4 = 6x + 34$. Then, calculate $f(5) = 6(5) + 4 = 30 + 4 = 34$. The expression becomes $\frac{6x + 34 - 34}{x} = \frac{6x}{x} = 6$.

Given f(x)=6x+4f ( x ) = 6 x + 4f(x)=6x+4 , Evaluate

Given $f ( x ) = 6 x + 4$ , Evaluate