Question

H(n) = -2n + 3g(n) = 4nFind (h•g)(-2)

Answer 1

Given:

h(n)=-2n+3

g(n)=4n

The objective is to find

`(h\cdot g)(-2)`

Let's rewrite the required function as

`\begin{gathered} (h\cdot g)=h\lbrack g(n)\rbrack \\ h\lbrack g(n)\rbrack=-2(4n)+3 \\ h\lbrack g(n)\rbrack=-8n+3 \\ (h\cdot g)(-2)=-8(-2)+3 \\ (h\cdot g)(-2)=16+3 \\ (h\cdot g)(-2)=19 \end{gathered}`

Hence the value of (hog)(-2)=19