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

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Given:

The functions are:


f(x)=|3x-5|+7x


g(x)=-2x+9

To find:

The function
(f+g)(x).

Solution:

We have,


f(x)=|3x-5|+7x


g(x)=-2x+9

We know that,


(f+g)(x)=f(x)+g(x)

On substituting the values of given functions, we get


(f+g)(x)=|3x-5|+7x+(-2x+9)


(f+g)(x)=|3x-5|+7x-2x+9


(f+g)(x)=|3x-5|+5x+9

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

User KamikazeCZ
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