Why Does Subtraction Become Addition in Composite Functions?

[mitchconnor]

g(x)=−4x2−5x
f(x)=−3x2+7x−5(g(x))

f(g(−1))=?

First, let's solve for the value of the inner function, g(−1). Then we'll know what to plug into the outer function.

g(−1)=−4(−1)2+(−5)(−1)I don't understand why they transformed the minus symbol into an addition symbol. This has happened a few times now. Every time I think I get an answer, I get hoodwinked by this change!

Help would be much appreciated.

 

[MarkFL]

Re: Composite function troubles~

Note that:

\(\displaystyle -4(-1)^2+(-5)(-1)=-4(-1)^2-5(-1)\)

I would choose to write it they way it is on the right, but both are equivalent. It boils down to the fact that subtracting a number is the same as adding the negative of that number:

\(\displaystyle a-b=a+(-b)\)