Question

If f(x) = x^2 + 1
and g(x) = 5-x then what is
(f+g)(x) =

Answer 1

Answer: x²-x+6

Explanation:

(f+g)(x) means f(x)+g(x). Since we are given the values of f(x) and g(x), we can directly subtract them.

x²+1+(5-x) [distribute +1]

x²+1+5-x [combine like terms]

x²-x+6

Answer 2

`\huge\boxed{(f+g)(x) = x^2 - x+ 6}`

Explanation:

`\sf f(x) = x^2 + 1\\g(x) = 5-x`

Adding both functions

`\sf (f+g)(x) = x^2 + 1+ 5 - x\\(f+g)(x) = x^2 - x+ 6`