2 Answers

Jeff Wilhite · Answer 1 · 2020-05-20T08:10:13+0000

Hello!

The answer is:

A.
x+4

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!

Janusz Lenar · Answer 2 · 2020-05-22T11:19:53+0000

Answer: Option A

Explanation:

Given the functions f(x) and g(x):

f(x) = 3x + 2

g(x)=2x-2

indicates that you need to subtract the function
f(x) = 3x + 2 and the function
g(x)=2x-2 .

Then:

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

Now, you need to dstribute the negative sign and then you have to add like terms. Then:

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

You can observe that this answer matches with the option A.