Answer:
B. (8-9)(x) = x2 + 4x+ 3
Step-by-step explanation: Hi there! So the question is what is (f-g)(x)?
So let's start off with what is f(x) and g(x)?
f(x) is 2x²-5 while g(x) is x²-4x-8
So how do we do this? We subtract the two!
2x²-5 - (x²-4x-8) let's look at the g(x) function
-(x²-4x-8) (let's break it apart!
-(x²)= -x² -(-4x) = +4x -(-8)= +8 => -x²+4x+8 replace the original with the new for the problem
2x²-5-x²+4x+8 alrighty we have that the first thing to do is to combine like terms. Is there anything number or vairable that are the same? yes there is!
We see a 2x² and a negative x² => 2x²-x² would equal to x²
Next we see an -5 and a positive 8 => -5+8 equals to 3
Lastly, we have 4x. Where the other x variable? That's the thing? There is no. So in this case 4x is all alone.
With the answers we need to put them together. We would have...
x²+ 4x +3. That is the answer to (f-g)(x) in other words B.
Sorry about typing a lot. I love to explain in details lol. But if you have any questions or comments please don't be afraid to say anything! I really do hope I helped in any kind of way. Have a great day! :D