If f(x)=x-5 and g(x)=x^2, what is f(f(

Hello there!

Given F(x)=x-5 and G(x)=x^2 you want to find F(F(x)).

In order to do this, you don't need to know what G(x) is. Just put F into F...

F(x)=x-5
F(x-5)=x-5-5
F(F(x))=x-10

This is the question that you asked, but the photo makes it look like they want you to do G(F(x)) so I will do that one too.

G(x)=x^2
G(x-5)=(x-5)^2
THEREFORE...
G(F(x))=(x-5)^2

A is the answer!

EXPLANATION:
Remember that a function is like a machine. F(x) is a machine and G(x) is also a machine. Plugging F into G is basically taking the output of the F machine and putting it into the G machine.

I really hope this helps! If you need a more detailed explanation, feel free to message me.
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