Solution
range
Solution
+1
Solution steps
Rewrite as
Multiply both sides by
The range is the set of y for which the discriminant is greater or equal to zero
Discriminant
Check if the range interval endpoints are included
Included
Included
Therefore the range is
Popular Examples
domain of (12x+35)/(x(x+7))domain extreme f(x)=x^3-15x^2+75x-1extreme points domain of 1/4 x^2-2x+15domain asymptotes of (x+4)/(x^2+25)asymptotes critical 12x^5+15x^4-240x^3+1critical points
Frequently Asked Questions (FAQ)
What is the range of (3x^2-3)/(x^2+x-6) ?
The range of (3x^2-3)/(x^2+x-6) is f(x)<= (-12sqrt(6)+42)/(25)\lor f(x)>= (12sqrt(6)+42)/(25)