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]

Ver imagen manissaha129