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tmua.me Extreme Set B Paper 1 · Q1

Paper 1Algebra

The quadratic polynomials ff and gg both have coefficient 11 for x2x^2. For every real number xx,

f(g(x))−g(f(x))=4x2−4x+3.f(g(x))-g(f(x))=4x^2-4x+3.

What is the least possible value of f(x)+g(x)f(x)+g(x) as xx varies over the real numbers?

A11
B22
C52\dfrac52
D33
E72\dfrac72
F44

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