The number of electric scooters e that a factory can produce per day is a function of the number of hours h it operates and is given by e(h) = 290h, 0

The composition of the function c(e) and e(h) is denoted by ${\displaystyle (c\cdot e)\left(h\right)}$ is given by the formula,
${\displaystyle (c\cdot e)\left(h\right)=c\left(e\left(h\right)\right)}$
(a) Compute the composite function as,
${\displaystyle e\left(h\right)=290h,0\le h\le 10}$
${\displaystyle c\left(e\right)=0.05e^2+65e+1000}$
${\displaystyle (c\cdot e)\left(h\right)=c\left(e\left(h\right)\right)}$
${\displaystyle =c\left(290h\right)}$
${\displaystyle =0.05{\left(90h\right)}^2+65\left(290h\right)+100}$
${\displaystyle 3920h^2+18850h+1000,0\le h\le 10}$
(b) The composite function ${\displaystyle (c\cdot e)\left(h\right)}$ is not defined for h = 13.
Hence, the function ${\displaystyle (c\cdot e)\left(13\right)}$ cannot be evaluated.