Find the range of y = (2x ^ 2 = 4x-7) \ (x ^ 2 + 2x + 3)

y=(2x^2+4x-7)/(x^2+2x+3)
x^2y+2yx+3y=2x^2+4x-7
(y-2)x^2+2(y-2)x+3y+7=0
If the equation about X has a solution, the discriminant is greater than or equal to 0
So 4 (Y-2) ^ 2-4 (Y-2) (3Y + 7) > = 0
(y-2)(y-2-3y-7)>=0
(y-2)(2y+9)

RELATED INFORMATIONS

1. Find the range of function y = 2x2 + 4x − 7X2 + 2x + 3
2. Y = (4x square + 2x + 5) / (2x + 1) (x is greater than or equal to 1)
3. Find the range of y = - 2 divided by x square + 2x-1
4. Y = 2x square - 4x + 3 / x square + 2x + 3 to find the range of this equation?
5. Find the monotone interval y = under the root sign (- x ^ 2 + 2x + 3)
6. Finding monotone interval of y = root sign x + X + 1
7. The monotone interval of function y = radical X-1 + radical x + 3 is The monotone interval of function y = radical (x-1) + radical (x + 3) is
8. Finding the extremum of function z = XY (a-x-y) I'm going over the exam,
9. Finding the conditional extremum of the function z = XY satisfying the condition x + y = 1
10. Finding the extremum of function z = x ^ + XY + y ^ + X-Y + 1
11. The range of function y = x √ (1-2x) is Sorry, the title is wrong, y = x √ (1-2x ^ 2)
12. The range of function y = 2x ^ + 1 is? The sign after X is square!
13. Given that the value range of function FX = ㏑ (X & # 178; + 1) is (0, 1, 2), then the number of functions satisfying this condition?
14. The range of function - X & # 178; + 2x + 4 is
15. Given the function FX = cos ^ 2x + asinx. When a = 2, find the range of function FX
16. Find the range of function FX = - x2 + 2x + 3 (- 2 ≤ x ≤ 3)
17. Find the range of function y = Log & nbsp; 12 (- x2-2x + 3)
18. Find the range of y = Log1 / 2 (x ^ 2 + 2x + 5)
19. Monotone interval of y = log2 {4x-x square}
20. Find the range y = log2 (square of X + 4x + 5)