Question

If $f=\left\{\right(2,4\left)\right(3,6\left)\right(4,8\left)\right(5,10\left)\right(6,12\left)\right\},$
$g=\left\{\right(4,13\left)\right(6,19\left)\right(8,25\left)\right(10,31\left)\right(12,37\left)\right\},$
Find $\left(gof\right)$ ?

Answer 1

$gof\left(x\right)=g\left(f\right(x\left)\right)hence,gof\left(2\right)=g\left(f\right(2\left)\right)=g\left(4\right)=13\therefore \left(gof\right)=\left\{\right(2,13\left)\right(3,19\left)\right(4,25\left)\right(5,31\left)\right(6,37\left)\right\}$