Answer:
The value of g(f(3)) = 2
Step-by-step explanation:
We are given:
[tex]f(x)=2x[/tex]
[tex]g(x) = x-4[/tex]
And we need to find g(f(3))
First we need to find g(f(x))
by putting the value of f(x) into g(x) i.e put x = 2x
[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]
Now, we need to find g(f(3)) by putting x = 3 in g(f(x))
[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]
So, the value of g(f(3)) = 2
