Question

Find range of given function:

$f\left(x\right)=\frac{x^2+4x+30}{x^2-8x+18}$

Answer 1

$f\left(x\right)=\frac{{\left(x+2\right)}^2+26}{{\left(x-4\right)}^2+2}$
$x+2>x-4$
${\left(x+2\right)}^2+26>{\left(x+4\right)}^2+2$
$f\left(x\right)>1$