exam Maths Puzzle Numerical Ability

PROBLEM:
SOLVE THE EQUATION WITH ANY METHOD YOU PREFER. (QUADRATIC, "U" SUBSTITUTION...)
9(x+3/2)^2-6(x+3/2)+1=0
FROM HERE I THINK I WOULD PREFER USING THE "U" METHOD
U=(x+3/2)

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If f(x)=x^2-x and g(x)=x-1, what is f(g(x))?

A. x^2-x-1
B. x^2-x-2
C. x^2-3x+2
D. x^2-3x+1