SOLUTION: Find the domain, range, and asymptotes (if any) of the following functions: a) f(x)= 4x+3/ x+2 b) f(x)= x+2/ x^2-1

Question 1194411: Find the domain, range, and asymptotes (if any) of the following functions:
a) f(x)= 4x+3/ x+2
b) f(x)= x+2/ x^2-1
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
assuming you have:
a)

domain:
or
Interval Notation:
(,) U (,)
range:
range of given function is equat to domain of inverse
so, find inverse of which is =>domain is or
then we say the range of (4x+3)/(x+2) is:
or
asympthotes:
Vertical:
Horizontal:

b)

domain:
or or
Interval Notation:
(,) U (,) U (,)
range:

range is where discriminant is >=0
discriminant is
in your case , ,

=>
=>
or
asymptotes:
Vertical: ,
Horizontal:

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