Question

[vamsiaus]

Hey this is one of the multiple choice questions from the Neap06 exam 2. I am just not sure how to find the domain of the function.

If f(x) = sqrt(9-x^2)  for x  ---> [-3,3] and g(x) = sqrt(x) for x ---> [0,infinite), then f(g(x))= sqrt(9-x) for

A) x = R
B) x = [0,9]
C) x = [-3,3]
D) x = [0,infinite)
E) x= (-infinite, 9]

what I thought, was that the domain of the inside must be in the domain of the outside and worked it out as [0,3]. But none of the options had it.
If somebody could shed some light on how to work out the domain and ranges for these sort of questions, it'd be great. Thanks.

[TrueTears]

and

Now for remember

Lets check whether this is so.





So no, is not satisfied.

We must now restrict to

Now remember

So, B.

[c23]

lol is this vamsi from hallam ?

[vamsiaus]

yes, whos this C23 with an orange picture.

[c23]

ROFL! i knew it from ur name
its charlene
from ur methods class? ROFL
this is funny