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Functions question

2022 · 27 Jun · Shift 2 · Q37

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JEE Main
Mathematics
Functions
2022 · 27 Jun · Shift 2 · Q37

Functions question

2022 · 27 Jun · Shift 2 · Q37

JEE MainMathematicsFunctionsNumerical+4 / −1

Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define f : S

\to

S as

f(n) = \left\{ {\begin{matrix} {2n} & , & {if\,n = 1,2,3,4,5} \\ {2n - 11} & , & {if\,n = 6,7,8,9,10} \\ \end{matrix} } \right.

. Let g : S

\to

S be a function such that

fog(n) = \left\{ {\begin{matrix} {n + 1} & , & {if\,n\,\,is\,odd} \\ {n - 1} & , & {if\,n\,\,is\,even} \\ \end{matrix} } \right.

. Then

g(10)g(1) + g(2) + g(3) + g(4) + g(5))

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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