Domain of f(x)= √(3-|x|/|x|-7) is?? Share with your friends Share 0 Ishwarmani answered this Dear Student, Please find below the solution to the asked query: We have,fx=3-xx-7The function is defined only when3-xx-7≥0As, x=x, x≥0-x, x<0Case I: When x≥03-xx-7≥0⇒3-xx-7≥0⇒x-3x-7≤0⇒x∈[3,7)Case II: When x<03+x-x-7≥0⇒x+3x+7≤0⇒x∈(-7,-3]So, x∈(-7,-3]∪[3,7)Hence, the domain of fx is (-7,-3]∪[3,7). Regards 2 View Full Answer