Question

Perform the indicated operation. h(n)=n-3 g(n)=-2n² + 2 Find (hºg)(n)

Answer 1

Step-by-step explanation:

$h(n) = n - 3 \\ g(n) = - 2 {n}^{2} + 2 \\ \\ (h.g)(n) = h(n).g(n) \\ = (n - 3).( - 2 {n}^{2} + 2) \\ = n( - 2 {n}^{2} + 2) - 3( - 2 {n}^{2} + 2) \\ = - 2 {n}^{3} + 2n + 6{n}^{2} - 6 \\ \red{\boxed {\bold{\therefore \: (h.g)(n) = - 2 {n}^{3}+ 6{n}^{2} + 2n - 6}}}$