Question

Could someone help me with this one real quick?:P

Answer 1

x>0

Answer 2

D is right, just look at the domain for each function

Answer 3

the domain for the composite function is just the combined domain

Answer 4

So this one would be x>0 as well?

Answer 5

no, because that would result in a negative number in the square root

Answer 6

So it's less than 0?

Answer 7

in this case, x has to be a negative non-zero number

Answer 8

yup

Answer 9

D is correct like @alias stated.

Answer 10

So is this one B?

Answer 11

no, because if x is larger than two, then the inside will be negative

Answer 12

So less than 2!

Answer 13

Or would it be less than or equal to 2?

Answer 14

yes less than two

Answer 15

because 2 - x has to be 0 or greater than 0

Answer 16

since 2 - x cannot be negative

Answer 17

we cannot have negative number under square root

Answer 18

it makes the most sense, but I'm kinda confused, because saying x less than or equal 2 would mean that you can also have negative number. While it works fine with the composite function, you still can't satisfy G(y)

Answer 19

so... technically none of these answers would be right, but if I have to pick, then D