Question

Need help,
Find and simplify the difference quotient f(x+h)-f(x)/h, h≠0 for given function.

f(x)=1/5x

Answer 1

Did you try to write down the difference?
if it is \( f(x) = \frac{1}{5x} \)
you would do this
\[ \frac{ \frac{1}{5(x-h)}- \frac{1}{5x} }{h} \\
= \frac{1}{h} \left( \frac{1}{5(x-h)}- \frac{1}{5x}\right)
\]
I would put the two fractions over a common denominator as the next step.
Can you try?