Question

( begin{aligned} f(x) &=x^{2}+frac{1}{x^{2}+1} quad x in R &[0, infty) cup(0,1]=(0, infty) & therefore quad f(x) text { range } quad text { is }(0, infty) end{aligned} )

# Find the range of the function f(x) = x2 + x2 +1

Solution