Question

Given the functions, f(x) = 4x 3 - x 2 + 1 and g(x) = x - 1, evaluate f(g(2)).

Answer 1

F(x) = 4x 3 - x 2 + 1
g(x) = x - 1
f(g(2))
solve for g (2)
2-1=1
solve for f (x)
4 (1)^3-(1)^2+1
4-1+1

4

Answer 2

$f(x)=4x^3-x^2+1 \\ \\ g(x)=x-1 \\ \\ f(g(2-1))=f(1) \\ \\ =4(1)^3-(1)^2+1 \\ \\ =4(1)^3-( 1)^2+1 \\ \\ =4-1+1 \\ \\ =4$