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2 years ago

9" id="TexFormula1" title="f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)" alt="f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Sergio [31]2 years ago

7 0

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

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