Solution
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
intercepts of f(x)=sqrt(x-3)inflection y=(x+8)/xinverse of f(x)= 2/5 x-4domain of f(x)=x^3+8domain of f(x)= 6/x+9
Frequently Asked Questions (FAQ)
What is the range of (x^2-6x+12)/(x-4) ?
The range of (x^2-6x+12)/(x-4) is f(x)<=-2\lor f(x)>= 6