Question

If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)? A. x + 4 B. x – 2 C. x D. 5x – 2 E. x – 4

Answer 1

Answer: Option A

Step-by-step explanation:

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

$f(x) = 3x + 2$

$g(x)=2x-2$

$(f-g)(x)$ 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.

Answer 2

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!