Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]
[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]
[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]
[tex]\\ \sf\Rrightarrow -x-1[/tex]
Answer:
(f+g)(x) = -x - 1
Step-by-step explanation:
f(x)=3x−2
g(x)=−4x+1
(f+g)(x) = 3x -2 -4x+1
= -x - 1