Respuesta :
Answer:
[tex](f+g)(x)=4x+1[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x-4\text{ and } g(x)=3x+5[/tex]
And we want to find:
[tex](f+g)(x)[/tex]
This is equivalent to:
[tex]=f(x)+g(x)[/tex]
By substitution:
[tex]=(x-4)+(3x+5)[/tex]
Rearranging yields:
[tex]=(x+3x)+(-4+5)[/tex]
Combine like terms:
[tex]=4x+1[/tex]
Hence:
[tex](f+g)(x)=4x+1[/tex]
Answer:
please refer to the above attachment
[tex] \boxed{(4x + 1) \: is \: the \: right \: answer.}[/tex]
