Question

Given f(x) = x^2-3 and g(x)=x+2/x. Find (g°f)(4)

Answer 1

15/13

Explanation:

Answer 2

`\[(171)/(13)\]`

Explanation:

Given functions f(x) and g(x) are:

`f(x)=\[x^(2)-3\]`

`g(x)=\[x+(2)/(x)\]`

Then, (g o f)(x)=g(f(x))=g(
`\[x^(2)-3\]`)

`=\[x^(2)-3+(2)/(x^(2)-3)\]`

`=\[x^(2)-3+(2)/(x^(2)-3)\]`

Evaluating the value of (g o f)(x) when x=4,

`=\[4^(2)-3+(2)/(4^(2)-3)\]`

`=\[16-3+(2)/(16-3)\]`

`=\[13+(2)/(13)\]`

`=\[(171)/(13)\]`