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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
If f : R → R is defined by f(x) = x2 - 3x + 2, write f{f(x)}.
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Answer

We have, f(x) = x2 - 3x + 2
$\therefore$ f{f(x)} = f(x2 - 3x +2)
= (x2 - 3x + 2)2 - 3(x2 - 3x + 2) + 2
= x4 + 9x2 + 4 -6x3 - 12x + 4x2 - 3x2 + 9x - 6 + 2
= x4 - 6x3 + 10x2 - 3x
$\therefore$ f{f(x)} = x4 - 6x3 + 10x2 - 3x

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