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