Answer:
Step-by-step explanation:
Given the two functions f(x)=x² - 4x +1 and g(t)=1-t
To simplify the composite function f(g(t)), we will replace x with (1-t) in f(x) as shown:
f(g(t)) = f(1-t)
f(1-t) = (1-t)²-4(1-t)+1
Expand the parenthesis
f(1-t) = 1-2t+t²-4+4t+1
f(1-t) = t²-2t+4t+1+1-4
f(1-t) = t²+2t-2
Hence the simplified form of f(g(t)) is t²+2t-2
