Domain of f(x)= √(3-|x|/|x|-7) is??

Dear Student,
Please find below the solution to the asked query:

We have,fx=3-xx-7The function is defined only when3-xx-70As, x=x, x0-x, x<0Case I: When x03-xx-703-xx-70x-3x-70x[3,7)Case II: When x<03+x-x-70x+3x+70x(-7,-3]So, x(-7,-3][3,7)Hence, the domain of fx is (-7,-3][3,7).

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