# What is the domain and range of (x^4 + x^2) /(1+x^2)?

Mar 30, 2016

Domain: $x$
Range: ${x}^{2}$
$f \left(x\right) = \frac{{x}^{4} + {x}^{2}}{{x}^{2} + 1}$
$\mathmr{and} , f \left(x\right) = \frac{{x}^{2} \cdot \left({x}^{2} + 1\right)}{{x}^{2} + 1}$
Hence, $f \left(x\right) = {x}^{2}$