HELP PLEASE! 15 PTS
2 answers:
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Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
First, we are going to find the inverse function of 
by replacing with 
, and then, interchanging 
and and solving for :
Next we are going to evaluate our inverse function at
:
We can conclude that the inverse function of
when is 
Next we are going to evaluate our inverse function at
We can conclude that the inverse function of