Question

Need this to graduate. Math 3- 10 points. Find the function!

Answer 1

(D) (f-g)(x) = 11x

Explanation:

You have:

f(x) = 4x + 3

g(x) = 3 - 7x

You want to do f(x) - g(x)... you simply do the operation on their definition...

f(x) - g(x) = 4x + 3 - (3 - 7x) = 4x + 3 - 3 + 7x = 11 x + 0

So, (f-g)(x) = 11x

You can verify it by placing a value for x in both equations. Let's take x = 3

f(x) = 4x + 3 = 4(3) + 3 = 15

g(x) = 3 - 7x = 3 - 7(3) = -18

f(x) - g(x) = 15 - -18 = 33

(f - g)(x) = 11x = 11 (3) = 33

Yes, (f(x) - g(x)) = (f - g)(x) = 33

Answer 2

Hello!

The answer is:

The fourth option,

`(f-g)(x)=11x`

Why?

To solve the problem, we must remember the following property of the functions:

Subtraction of functions:

We have that,

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

We are given the functions:

`f(x)=4x+3`

and

`g(x)=3-7x`

So, calculating we have:

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

`(f-g)(x)=(4x+3)-(3-7x)`

`(f-g)(x)=4x+3-3+7x`

`(f-g)(x)=4x+7x+3-3=11x`

Hence, the answer is the fourth option,

`(f-g)(x)=11x`

Have a nice day!