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

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the function:

f(x) = 3x + 1

g(x) = x^2 -6

Determine (f  + g) (x)

Solution:

In order to equate the function into the condition, we simply need to put them in one single solution separated by a plus sign which denotes the operation of addition.

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

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

(f + g)(x) = x^2 + 3x - 5

Final answer:

(f + g)(x) = x^2 + 3x - 5