Answered

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[tex]f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)[/tex]

Sagot :

Given:

The functions are:

[tex]f(x)=|3x-5|+7x[/tex]

[tex]g(x)=-2x+9[/tex]

To find:

The function [tex](f+g)(x)[/tex].

Solution:

We have,

[tex]f(x)=|3x-5|+7x[/tex]

[tex]g(x)=-2x+9[/tex]

We know that,

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

On substituting the values of given functions, we get

[tex](f+g)(x)=|3x-5|+7x+(-2x+9)[/tex]

[tex](f+g)(x)=|3x-5|+7x-2x+9[/tex]

[tex](f+g)(x)=|3x-5|+5x+9[/tex]

Therefore, the required function is [tex](f+g)(x)=|3x-5|+5x+9[/tex].

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