Mathematics - Functions Question with Solution | TestHub

$\mathrm{x}+|\mathrm{x}|>0\Rightarrow \mathrm{x}\in (0,\infty )$ ...(1)
$\begin{array}{rl}& \&10+3x-x^2>0\\ & \Rightarrow x^2-3x-10<0\end{array}$
$\Rightarrow x\in (-2,5)$ ...(2)
$\begin{array}{rl}& \text{ from }(1)\&(2)\mathrm{x}\in (0,5)\\ & \therefore \mathrm{a}=0\&\mathrm{b}=5\\ & \therefore \left(1+{\mathrm{a}}^2\right)+{\mathrm{b}}^2=1+25=26\end{array}$