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Hey guys,
I'm going through Math Destroyer and am having trouble with some of the functions. I understand the basics of function composition, but this one seems to be a bit of a curve ball:
If G(F(x))=x^2-3 and G(x)=x-3, find F(3).
It seemed really basic at first and so I plugged 3 into the first equation to get 6, but the answer is 9. I can't understand how they arrived at the answer because the solution is so vague. Dr. Romano says, "Since G(F(x))=x^2-3 and G(x)=x-3, then F(x) must be x^2 by the composition of functions. F(3) is therefore 3^2=9."
Any help would be appreciated.
I'm going through Math Destroyer and am having trouble with some of the functions. I understand the basics of function composition, but this one seems to be a bit of a curve ball:
If G(F(x))=x^2-3 and G(x)=x-3, find F(3).
It seemed really basic at first and so I plugged 3 into the first equation to get 6, but the answer is 9. I can't understand how they arrived at the answer because the solution is so vague. Dr. Romano says, "Since G(F(x))=x^2-3 and G(x)=x-3, then F(x) must be x^2 by the composition of functions. F(3) is therefore 3^2=9."
Any help would be appreciated.
