How to Find the Difference Quotient (f(x + h) - f(x))/h) for f(x) = 1/x

In this video I will show you how to compute the difference quotient (f(x + h) - f(x))/h for the function f(x) = 1/x

I hope this helps someone.

[joseandsammyunscripted]

Wow this explanation was really calm, peaceful, and smart. I appreciate it a lot.

[osmarrodriguez]

Maaan i've been trying this for over two days and i couldnt solve it, now i know my mistakes, thanks :')

[bad_robot]

huge thanks for this example my guy :)

[shlepeekeg]

Thankyou SOOO much, for some reason I was subbing in f(h) into 1/x. 😀

[nabilapkarani_]

Oh man, thank you so much!
Have a nice day!!!

[amberweaver]

okay, but why do the h's cancel like that?

[susan]

If x were to be in the numerator also, would this way still work?

[hollanderson]

What if I don't have the value of f(x) but instead I am given:
f(x+2)=-2x+1 and f(1)=x+3 and am asked to find the value of f(3x)