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tmua.me Medium Set A Paper 1 · Q15

Paper 1Functions & graphs

The graph of y=f(x)y=f(x) is shown for −1≤x≤8-1\leq x\leq8, which is the domain of ff. Its only zeros are −1-1, 00, 33 and 88.

What is the total length of the set of real values of xx for which

f(x2−1)>0 ?f(x^2-1)>0\,?

Diagram for question 15

A44
B22
C1+51+\sqrt5
D66
E2+252+2\sqrt5

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