Answer:
21
Step-by-step explanation:
Start with the inside first.
The inside is g(3).
g(3) can be found by using function, g.
g(x)=3x-4 so g(3)=3(3)-4=9-4=5.
So now we have that:
f(g(3))
f(5)
We can find f(5) by replacing x in the expression x^2-2x+6 with 5:
(5)^2-2(5)+6
25-10+6
15+6
21
This means f(g(3))=f(5)=21
