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More specialist questions...

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ice_blockie:
Sorry to annoy you all on a wonderful Sunday morning when EVERYONE should be outside...but I'm stuck on some spesh and I hope you can help me:

1. The curve has equation where and and are non zero constants. The oblique asymptote cuts the x axis at (-1,0). What is the relationship between and ?

Answer is:

2.What is the implied domain of ?

Answer is

Collin Li:




Therefore, the oblique asymptote is:



Since (-1, 0) lies on the oblique asymptote:

Collin Li:


Consider the range of :

Consider the domain of :

Now, restrict the domain of such that its new range will be the intersection of and , i.e:

Thus,

Since is a monotonic decreasing function, we can say:







The domain of is the domain of , so therefore,

(I'm pretty sure the square bracket is right)

ice_blockie:
Thanks muchly!

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