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tmua.me Medium Set C Paper 1 · Q2

Paper 1Functions & graphs

The function ff is defined by

f(x)=x2+ax+b,f(x)=x^2+ax+b,

where aa and bb are real constants. It satisfies

f(0)=f(4)andf(f(1))=1.f(0)=f(4)\qquad\text{and}\qquad f(f(1))=1.

What is the sum of all possible values of bb?

A44
B55
C77
D99
E2020
F2525

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