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Mathematics
Let f(x) = sin x and g(x) = ln | x |. If the ranges of the composition functions fog and gof are R1 and R2 respectively, then
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Q. Let $f(x) = \sin x $ and $g(x)$ = ln | x |. If the ranges of the composition functions fog and gof are $R_1$ and $R_2$ respectively, then
JEE Advanced
JEE Advanced 1994
Relations and Functions - Part 2
A
$R_1 = \{u : -1 \le u < 1\}, R_2 = \{v : - \infty < v < 0\}$
0%
B
$R_1 = \{ u : -\infty < u < 0\}$, $ R_2 = \{v : -1 \le v \le 0\}$
50%
C
$R_1 = \{u : -1 < u < 1 \}, R_2 = \{v : - \infty < v < 0\}$
50%
D
$R_1 = \{u : -1 \le u \le 1\}, R_2 = \{v : - \infty < v \le 0\}$
0%
Solution:
Correct answer is (d) $R_1 = \{u : -1 \le u \le 1\}, R_2 = \{v : - \infty < v \le 0\}$