SOLUTION: can you please help me work out this problem. i need to find the range of this function: {{3+x^2/ 4-x^2}}. i tried writing the problem as two binomials on top and two binomials on

Question 391155: can you please help me work out this problem. i need to find the range of this function: {{3+x^2/ 4-x^2}}. i tried writing the problem as two binomials on top and two binomials on the bottom and solve for x but i am not sure if that is what i am suppose to do. so can you please help me solve this problem.
Thank you so much for your time.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I will assume that your function is .
To find the range solve for x in terms of y and then state conditions on y that may arise.

<==>
<==>
==> , using the quadratic formula.
Since the values of x must be real, the conditions we should impose on y are
and y is not equal to -1.
The solution set to this inequality is the union of intervals (, -1)U[3/4, ). This is the RANGE of the function.

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