If fx x3 4x2 8x 1 and gx 4 find f function composition

If f(x) = x^3 - 4x^2 + 8x - 1 and g(x) = 4, find (f function composition g)(x) and (g function composition f)(x). What is (f function composition g)(x)?

Solution

solution:

f(x)=x³-4x²+8x-1

g(x)=4

f(g(x))=g(x)³ -4g(x)² +8g(x) -1

= 4³ -4*4² +8*4 -1

=32-1 =31

now

g(x)=4

g(f(x))=4