Find (f ●g)(x) and simplify if possible f(x)=x-3 and g(x)=x-2
To find (f ● g)(x), we first find g(f(x)) and substitute it back into (f ● g)(x).
First, we find g(f(x)):
g(f(x)) = g(x-3)
= (x-3)-2
= x-5
Now, we substitute g(f(x)) back into (f ● g)(x):
(f ● g)(x) = g(f(x)) = x-5
Therefore, (f ● g)(x) = x-5