Question

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).

Answer 1

`{x}^(2) + 3x - 5`

Explanation:

`f(x) = 3x + 1 \\ g(x) = {x}^(2) - 6 \\ (f + g)(x) = (3x + 1) + ( {x}^(2) - 6) \\ = 3x + 1 + {x}^(2) - 6 \\ = {x}^(2) + 3x - 5`

Answer 2

x^2+3x-5

Explanation:

f(x) = 3x + 1

g(x) = x^2 - 6,

(f + g)(x)= 3x + 1 +x^2 - 6,

Combine like terms

= x^2+3x-5