If $f:[1, 10]\to [1,10]$ is a non decreasing function and $g:[1, 10]\to [1,10]$ is a non increasing function. Let $h(x) =f(g(x)) $ with $h(1)=1$. Then $h(2)$:
$\text{(A)}$ lies in $(1,2)$.
$\text{(B)}$ is more than 2.
$\text{(C)}$ is equal to $ 1$.
$\text{(D)}$ is not defined.
My attempt:
I took the graph of $f(x) $ to be increasing such that it is 2 for $f(1)$ to reach the maximum ordinate of 8 and then I drew the graph of $g(x) $ to be decreasing from $8$ to $1$ then my thought is How $ h(2)$ is going to be equal to $1$ ?!