Respuesta :

The answer is [tex](f+g)(x)=10x-5[/tex]

Step-by-step explanation:

Given that [tex]f(x)=2x+5x[/tex] and [tex]g(x)=3x-5[/tex]

To find : [tex](f+g)(x)[/tex]

Now, assign the value [tex]g(x)=3x-5[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(f+3x-5)[/tex]

Also, assign the value [tex]f(x)=2x+5x[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(2x+5x+3x-5)[/tex]

Now, adding the like terms , we get,

[tex](f+g)(x)=10x-5[/tex]

Thus, the value of [tex](f+g)(x)[/tex] is [tex](f+g)(x)=10x-5[/tex]

Answer:

[tex]10x-5[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5x[/tex]

[tex]g(x)=3x-5[/tex]

[tex](f+g)(x)[/tex]

[tex]f(x)+g(x)[/tex]

[tex]2x+5x+3x-5[/tex]

[tex]10x-5[/tex]