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
intercepts of (-3x+3)/(5x-5)intercepts intercepts of f(x)=(-4)/(x-3)intercepts domain of (1-5t)/(4+t)domain domain of f(x)=(1+x)/(1-x)domain inverse of f(x)=(2x)/(x-3)inverse
Frequently Asked Questions (FAQ)
What is the range of x/(x^2+1) ?
The range of x/(x^2+1) is -1/2 <= f(x)<= 1/2