For the function g defined above a, there's a constant in G four is equal to eight, what is the value of g of negative four? Okay, so quickly, just keep in mind that whenever you have g of something or F of something, all it's telling you is to plug in that number wherever you see an x in your equation. So here g of x, we have a four, we're just going to plug in that for wherever we see at x. Okay? So when they're asking what is the value of g of negative four, we're going to take that negative four and plug that in wherever we see an x. So what is that?

Well, that is going to be equal to a times negative four squared plus 24. Now, there's a bit of an issue is that this annoying a right there. We don't know what that is yet. But we can find what it is using this bit of information here. gf four is equal to eight. So we can use that in the following way.

Eight is equal to a times x squared in this case going to be four squared plus 24. So let's simplify that a little bit more to get what a is. Well, four squared is 16. So we get a is equal to 16 a plus 24. We subtract 24 from both sides, we will get negative 16 is equal to 16. A, that means a is equal to negative one, right?

So we'll take that negative one, plug it back in here, and what does that give us? That'll give us negative one times negative four squared is 16 plus 24. And what does that equal? Well, negative one times 16 is negative 16 plus 24. And that just gives us yeah, you guessed it. That'll give us eight.

That's it.