find the domain and range of f(x) = root ( (x -3 ) (4-x) Share with your friends Share 12 Anuradha Sharma answered this The given equation is, fx=x-34-xNow above equation is defined for, x-34-x≥0or x-3x-4≤0or x ∈3,4Now this is the domain of the function f.For finding the range of the f we take x in terms of y and then finding the domain of that function we get, y =x-34-xy2=4x-x2-12+3xx2-7x+12+y2=0or x = 7±49-412+y22Now the above equation is defined for, 49-412+y2≥0or 49-48-4y2≥01-4y2≥0y2≤14y2-14≤0y-12y+12≤0or y ∈-12, 12 28 View Full Answer