Question

Let f(x)=1-x+x squared and g(x)= square root of 5+x. Determine (f•g)(4)

Answer 1

(f•g)(4) = 7

Explanation:

It is given that
`f(x) = 1 - x + x^(2)` and
`g(x) = √(x + 5)`

(f•g)(x) = f(g(x)) =
`1 - g(x) + g(x)^(2)` =
`1 - √(x + 5) + (x + 5)`

Putting x = 4 in the above equation, we get (f•g)(4) =
`1 - √(5 + 4) + (5 + 4)` = 1 +9 - 3 = 7