SOLUTION: f(x)= 5, find the simplest form of f(x+h)- f(x)/ h. f(x+h)- f(x)/ h = f(x+h)- 5/ h. Whats the next step?

Algebra.Com
Question 64158: f(x)= 5, find the simplest form of f(x+h)- f(x)/ h.
f(x+h)- f(x)/ h = f(x+h)- 5/ h. Whats the next step?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
f(x)= 5, find the simplest form of f(x+h)- f(x)/ h.
f(x+h)- f(x)/ h = f(x+h)- 5/ h. Whats the next step?
-------------
When you say f(x)=5 you are saying that f is a constant function---
y is always 5.
Not only is f(x)=5, f(x+h) is also 5
--------
Therefore :
[f(x+h)-f(x)] /h =[5-5]/h = 0/h = 0
---------
Cheers,
Stan H.


RELATED QUESTIONS

find: (f+h) (x) (answered by ikleyn)
Find f(a), f(a + h), and the difference quotient f(a + h) − f(a)/h. where h... (answered by Alan3354,stanbon)
f(x)=5x-1 f(x-h)-f(x) ___________ h (answered by Fombitz)
Find f(x+h)-f(x)/h where... (answered by jim_thompson5910)
If f(x)=x^2-5, find and simplify... (answered by ewatrrr)
The problem is: f(x)=3x^2+x+5 f(x+h)-f(x)/h h is not = to 0 (answered by stanbon)
If f(x)= -2/x+3, what would be the simplest form of f(x+h)-f(x)/h assuming that h ≠ (answered by KMST)
If f(x) = 3x^2-5, find... (answered by Tatiana_Stebko)
If {{{ f(x)=3x^2-4x-5 }}}, find {{{ (f(x+h)-f(x))/h... (answered by jim_thompson5910)