Identifying domain help?
Using interval notation, identify the domain for the function:
f(x) = (sqrt)x+4
(A) [4, infinity)
(B) (-infinity, 4]
(C) [-4, infinity)
(D) (-infinity, -4]
Leaning towards A or C for starters because the bracket should be on the left side when listing the domain, right?
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OpenStudy (anonymous):
i wanna help her ermm
ganeshie8 (ganeshie8):
thats a good start!
OpenStudy (anonymous):
i need to know her guess first :O
OpenStudy (anonymous):
I'm not sure how the four can become a negative in this equation so to take a stab at the wind I'd say A @Marki
OpenStudy (anonymous):
wrong
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ganeshie8 (ganeshie8):
\[f(x) = \sqrt{x+4}\]
assuming everything is real, you want the stuff inside radical to be not less than 0 because squareroot is not defined for negative numbers
OpenStudy (anonymous):
Wouldn't that leave C as my only option?
ganeshie8 (ganeshie8):
\[\large x+4 \ge 0\]
solve \(x\)
OpenStudy (anonymous):
x => -4?
OpenStudy (anonymous):
ahh I see now...
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ganeshie8 (ganeshie8):
yes, in interval notation it would be
\[\large \left[-4, \infty \right)\]