## Finding Domain and Range with absolute value under radical

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
Arsalaan
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### Finding Domain and Range with absolute value under radical

So these questions have an absolute value of x under the sqrt so i don't know how to do it.

1. a) y=3x^2 +1 / 5x^2 - 25

Is the domain all real number except 5 and range all real number except 0?

b). y= sqrt 2|x|-4 - all of it is under sqrt. Find Domain and Range

2. Find if function is even odd or neither

a) x^2 -x
b) 1+x^2 / |x|
c) x + sqrt x

stapel_eliz
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Joined: Mon Dec 08, 2008 4:22 pm
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Arsalaan wrote:So these questions have an absolute value of x under the sqrt so i don't know how to do it.

1. a) y=3x^2 +1 / 5x^2 - 25

I'm not seeing any square root or absolute values...? Also, what you have typed means the following:

. . . . .$y\, =\, 3x^2\, +\, \frac{1}{5x^2}\, -\, 25$

...but I have a feeling that this isn't what you meant...?

Please review how to format math and reply with clarifications. Thank you!

Arsalaan wrote:b). y= sqrt 2|x|-4 - all of it is under sqrt. Find Domain and Range

I think you mean the following:

. . . . .$y\, =\, \sqrt{2\left|x\right|\, -\, 4}$

To find the domain, determine the x-values for which the argument of the radical is non-negative. To find the range, graphing is a great way to start....

Arsalaan wrote:2. Find if function is even odd or neither

a) x^2 -x
b) 1+x^2 / |x|
c) x + sqrt x

To learn how to determine if a function is even, odd, or neither, try here.