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simplify f(x)=1/x, f(x)-f(a)/x-a?
okay, this is where i get to and got stuck, i plugged in the f(x) so i did something like this
1/x-f(a)
______
x-a
and i dont know where to go next :/
plz help
how is f(a)= 1/a?
also, what is f(a)?
4 Answers
- Mike TLv 71 decade agoFavorite Answer
1/x-1/a
----------
x-a
a/ax - x/ax
---------------
x-a
(a - x) / ax
---------------
x-a
(a - x) 1
--------- * ---------------
ax x-a
(a - x) 1
--------- * ---------------
ax -(a - x)
1 1
--------- * ---------------
ax -1
-1
-----
ax
- Anonymous1 decade ago
f(x) = 1/x
Then ((f(x) - f(a))/(x-a)
= (1/x - 1/a)/(x-a)
Multiply everything by ax/ax
we have
(a - x)/(ax(x-a))
= -(a-x)/(ax*(a-x))
= -1/(ax) which is the answer
- FriendLv 41 decade ago
f(a)=1/a
so
1/x-1/a
-----------
x-a
simplify the numerator into a single fraction
((a-x)/ax)/x-a
rearrange
(a-x) * 1
------- ------
(x-a) * ax
note the (a-x)/(x-a)=-1
so your final answer should be -1/(ax)
