If f:[-3, 2]\to[0,\sqrt^{3}x] is an onto function defined by f(n)=\{ \table2+\sqrt^{3}n{,},-3 \leq n \leq -1;n^{2{/}3}{,} ,-1 \leq n \leq 2 then x =

TS EAMCET 11-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 1 of 160

Marks: +1, -0

If f:[−3,2]→[0,3√x] is an onto function defined by

f(n)={

2+3√n,	−3≤n≤−1
n2/3,	−1≤n≤2

then x =

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2+3√n	‌	−3≤n≤−1
n2/3	‌	−1≤n≤2.