Question 6
Let $g(x)$ be a strictly increasing function defined for all $x\ge0$. It is known that the range of $t$ satisfying
$$g(2t^2+t+5)\lt g(t^2-3t+2)$$
is $b\lt t\lt a$. Find $a-b$.
$$g(2t^2+t+5)\lt g(t^2-3t+2)$$
is $b\lt t\lt a$. Find $a-b$.