Answer:
[tex](f+g)(x)=3^x+4x+8[/tex]
if [tex]f(x)=3^x+10[/tex] and [tex]g(x)=4x-2[/tex].
Step-by-step explanation:
We are given [tex]f(x)=3^x+10[/tex] and [tex]g(x)=4x-2[/tex].
We are asked to find [tex](f+g)(x)[/tex].
[tex](f+g)(x)[/tex] means [tex]f(x)+g(x)[/tex]
[tex](f+g)(x)=(3^x+10)+(4x-2)[/tex]
You only have one pair of like terms, that is the constants.
[tex](f+g)(x)=3^x+4x+10-2[/tex]
[tex](f+g)(x)=3^x+4x+8[/tex]