The Solution:
Given:
Required:
Simplify the following:
[tex](a)\text{ }\frac{f(x)-f(a)}{x-a}=\frac{6x-6a}{x-a}=\frac{6(x-a)}{x-a}=6[/tex][tex](b)\text{ }\frac{f(x+h)-f(x)}{h}[/tex]
Where:
[tex]f(x+h)=6(x+h)=6x+6h[/tex]
Substitute:
[tex]\text{ }\frac{f(x+h)-f(x)}{h}=\frac{6x+6h-6x}{h}=\frac{6h}{h}=6[/tex]
Answers:
(a) 6
(b) 6
