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Mathematics 22 Online
OpenStudy (anonymous):

What is the domain of the composite function G(F(x))?

OpenStudy (anonymous):

OpenStudy (anonymous):

G(F(x)) has a square root sign that restricts the domain. can't take the square root of negative numbers.

OpenStudy (anonymous):

2

OpenStudy (anonymous):

A. x < 0 B. x 2 C. x 0 D. x > 0 E. x < 2 F. All real numbers

OpenStudy (anonymous):

Domain means the values that we can plug in for x. It's a range of numbers. Which one do you think it is?

OpenStudy (anonymous):

e.

OpenStudy (anonymous):

x<2 means i plug in negative numbers under the square root. Can't do that

OpenStudy (anonymous):

no

OpenStudy (anonymous):

x<2 essentially says that any x that is less than 2 can be plugged in for x. This includes negatives too and we can't do that.

OpenStudy (anonymous):

idk , Whts thee answer .

OpenStudy (anonymous):

Because we have a square root, we can't have any negative numbers for x. We also can't have 0 because the square root of 0 is 0 and we cant divide by 0. So no negatives and no 0. So x has to be greater than 0

OpenStudy (anonymous):

so it wouldnt be e.

OpenStudy (anonymous):

than it has to be b. because tha siqns dont show upp when i Draged it .

OpenStudy (anonymous):

x>0, yeah

OpenStudy (anonymous):

so thts tha answer .

OpenStudy (anonymous):

D. x>0

OpenStudy (anonymous):

are YU sure *

OpenStudy (anonymous):

We have a square root so x can't be negative and x can't be zero since we'd be dividing by 0.

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