SOLUTION: if f(x)=1/x+2, then f(x+h)-f(x)/h= This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2) Is this the correct answer? Thank you so much for your time!

Question 889382: if f(x)=1/x+2, then f(x+h)-f(x)/h=
This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2)
Is this the correct answer?
Thank you so much for your time!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if f(x)=1/(x+2), then f(x+h)-f(x)/h=
This is a multiple choice question and I got the answer 1/h(x+2)(x+h+2)
=========
f(x+h) = 1/(x+h+2)
f(x) = 1/(x+2)
------------------
f(x+h)-f(x) = 1/(x+h+2) - 1/(x+2) = [(x+2)-(x+h+2)]/{(x+2)(x+2+h)]
= h/[(x+2)(x+2+h)
----
Dividing by h you get:
= 1/[(x+2)(x+2+h)
=========================
Cheers,
Stan H.
-------------------------

RELATED QUESTIONS
if f(x)=sqrt x-2, then f(x+h)-f(x)/h= This is a multiple choice question and I got the (answered by Fombitz)

I've tried everything and I can't get this problem. Its an algebra 2 question and it says (answered by stanbon,Theo)

Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible... (answered by rothauserc)

Let f(x)=9+x+x ^2 and h not equal to 0. a. is f(8+1) = f(8)+f(1)? Yes or No (I... (answered by solver91311)

If f(x)=x/1+x, what is the value of f(x+h)? a. x+h/1-x-h\ b. x+h/1+x+h c. x-h/1+x-h (answered by MathLover1)

If f(x)= x^2 + 5, find f(a + h) - f(a). I haved tried to work this problem and the... (answered by 303795)

Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=2x^2 + x +... (answered by Boreal,Fombitz,rothauserc)

if f(x)=3-x-x^2 then what is(... (answered by jsmallt9)

Find f(a), f(a+h), and the difference quotient f(a+h)-f(a)/h, where h is unequal to 0.... (answered by josgarithmetic)