If f(x)=x^2-2 and g(x)=x-3, what is (f*g)(x)?

This is a composite that could also be written in the form f(g(x)).  Take the function defined as g(x) and stick it in in place of the x in f(x).  Like this: .  And that's it.

For this case we have the following functions:
 
 We must make the following composition of functions:
 
 This composition of functions means that we must replace the function g (x) in the function f (x) in the following way:
 
 We have then:
 
 Rewriting we have:
 
 
 
 option 2

Horizontal change or the change of x