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Need help finding the domain of a function!?
h(x) = √(4-x) + √(x^2-1)
Need help understanding.. thought of maybe trying to square each side, but having a lot of trouble.
1 Answer
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- Anonymous10 years agoFavorite Answer
Since nonnegative values inside the √ makes h(x) exist, we let...
4 - x ≥ 0 and x² - 1 ≥ 0
So...
x ≤ 4 and x² ≥ 1
x ≤ 4 and x ≥ 1 and x ≤ -1
So we have the domain of...
{x | R, x ≤ -1 and 1 ≤ x ≤ 4} [Proved: http://www.wolframalpha.com/input/?i=4+-+x+%E2%89%...
I hope this helps!
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