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Functions question

2022 · 25 Jul · Shift 2 · Q38
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  5. /2022 · 25 Jul · Shift 2 · Q38

Functions question

2022 · 25 Jul · Shift 2 · Q38

JEE MainMathematicsFunctionsNumerical+4 / −1
Let f(x)f(x)f(x) be a quadratic polynomial with leading coefficient 1 such that f(0)=p,peq0f(0)=p, p eq 0f(0)=p,peq0, and f(1)=13f(1)=\frac{1}{3}f(1)=31​. If the equations f(x)=0f(x)=0f(x)=0 and f∘f∘f∘f(x)=0f \circ f \circ f \circ f(x)=0f∘f∘f∘f(x)=0 have a common real root, then f(−3)f(-3)f(−3) is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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