Question

Let f(x)= -3x + 7 and g(x)= 2x^2 - 8Find f(x)-g(x)Choose the best answerA) -2x^2 - 3x + 15B) -5x + 15C) x^2 - 1D) 2x^2 - 3x -1

Answer 1

Given the function:

$f\mleft(x\mright)=-3x+7$

And the function:

$g\mleft(x\mright)=2x^2-8$

You can find

$f\mleft(x\mright)-g\mleft(x\mright)$

By subtracting both functions.

Then, you can set up that:

$f(x)-g(x)=\mleft(-3x+7\mright)-\mleft(2x^2-8\mright)$

Now you must distribute the negative sign:

$f(x)-g(x)=-3x+7-2x^2+8$

And finally, you must add the like terms (Remember that, by definition, the "Like terms" are those terms that have the same variables and the same exponent). Therefore, you get:

$f(x)-g(x)=-2x^2-3x+15$

The answer is: Option A.