assume that we don't know how the graph looks like and without a calc (that includes graphic calculator!)
2007-03-10 14:15:56 · 5 answers · asked by FaIrOl 1 in Science & Mathematics ➔ Mathematics
You get the domain by seeing what values of x are permitted.
This means x^2 - 5 >= 0 which means X^2 >= 5 so
X >= sq root 5 or X<= - sq root 5
The range is all values greater than or equal to 0
2007-03-10 14:21:54 · answer #1 · answered by Anonymous · 0⤊ 0⤋
domain: ââ < x ⤠ââ5 and â5 ⤠x < +â
range: 0 ⤠x < +â
2007-03-10 14:21:01 · answer #2 · answered by ........ 5 · 0⤊ 0⤋
y= sqrt(x^2-5)
If x^2 => 5, then y is positive or 0.
If x^2 <5, then x is imaginary.
Therefore domain is x^2>5 or x > +/- sqrt(5)
This means x< -sqrt(5) and x > sqrt(5)
The range is y => 0
2007-03-10 14:36:53 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
anything less than sqrt(5), else we have a negative under the square root
2007-03-10 14:21:37 · answer #4 · answered by leo 6 · 0⤊ 0⤋
range: x>_0
domain: x>_sqrt5, x_<-sqrt5,
>_ means larger than or equal to
_< means smaller than or equals to
2007-03-10 14:22:30 · answer #5 · answered by gummstein 1 · 0⤊ 0⤋