Because 2(2x+ 1) is not equal to zero,1[2 (2x+1)] is not equal to zero, so y is not equal to 1/2-0=0, that is.

range

It is (negative infinity, 1/2) and (1/2, positive and negative infinity).

Another solution: from Y=x/(2x+ 1) to 2Yx+y=x, get (2Y- 1)x=-Y,

According to the definition of the function, x has a solution, so 2Y- 1 is not equal to zero, so y is not equal to 1/2-0=0, that is, the range of values is (negative infinity, 1/2) and (1/2, plus or minus infinity).

this is

Equal thinking

, is also the inverse function method.