How Do you do this would be nice if you include answer

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mariahgriego4126

01.06.2023

Mathematics

Hello!

The answer is:

A. x+4

Why?

To solve this problem we must remember the following property:

(f-g)(x)=f(x)-g(x)

Now, the given functions are:

$f(x)=3x+2\\g(x)=2x-2$

Then, calculating (f-g)(x)

$(f-g)(x)=f(x)-g(x)=(3x+2)-(2x-2)\\\\(f-g)(x)=(3x+2)-(2x-2)=3x+2-2x+2\\\\(f-g)(x)=3x+2-2x+2=x+4$

So, the correct option is:

A. x+4

Have a nice day!

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