Answer:
4
Step-by-step explanation:
f(g(2)) means "put 2 into g(x) and then take that answer and put it into f(x)"
Given:
[tex]f(x)=4x^3-x^2+1[/tex]
and
[tex]g(x)=x-1[/tex]
Now, let's find g(2) first:
g(x) = x - 1
g(2) = 2 - 1
g(2) = 1
Now, lets put this into f(x). So we have:
[tex]f(x)=4x^3-x^2+1\\f(1) = 4(1)^2 - (1)^2 +1\\f(1) =4[/tex]
That is f(g(2)) = 4
