Question
The domain of the function f (x)= 1 x^ 12 -x^ 9 +x^ 4 -x+1 is given by
BITSAT
Mathematics
Functions
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. (- ,-1)
- B. (1, )
- C. (-1,1)
- D. (- , )
Answer
D. (- , )
Step-by-step solution
f (x) is defined for x^ 12 -x^ 9 +x^ 4 -x+1>0 array l x^ 4 (x^ 8 +1 )-x (x^ 8 +1 )+1>0 \\ (x^ 8 +1 ) x (x^ 3 -1 )+1>0 array If x 1 or x -1, then the above expres - sion is positive. If -1 0 \\ [x^ 4 +1>x^ 8 +1 and so x^ 4 +1>x (x^ 8 +1 ) ] array The domain of f=(- , )
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