SOLUTION: Please help me to solve this. Suppose f(x)= 1/x+5 Find f(x+h) - f(x)/h Please show work Thank You!

Algebra ->  Functions -> SOLUTION: Please help me to solve this. Suppose f(x)= 1/x+5 Find f(x+h) - f(x)/h Please show work Thank You!      Log On


   

Question 356636: Please help me to solve this.
Suppose f(x)= 1/x+5
Find f(x+h) - f(x)/h
Please show work
Thank You!
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Replace x in the function with (x + h) and place the result in the numerator.

Replace f(x) in the numerator with 1/(x + 5).

Here is what it looks like:

[1/(x + h)+ 5 - 1/(x + 5)]/h


Can you take it from here?