If begin mathsize 12px style f open parentheses x close parentheses equals sin x plus cos x comma g open parentheses x close parentheses equals x squared minus 1 comma t h e n space g open parentheses f open parentheses x close parentheses close parentheses space i s space i n v e r t i b l e space i n space t h e space d o m a i n
i. open square brackets 0 comma straight pi over 2 close square brackets space space space space i i. open square brackets negative straight pi over 4 comma straight pi over 4 close square brackets space space space space i i i. open square brackets negative straight pi over 2 comma straight pi over 2 close square brackets space space space space i v. open square brackets 0 comma straight pi close square brackets
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Asked by sunil2791 | 3rd Jun, 2017, 05:55: PM

Expert Answer:

begin mathsize 16px style First space find space straight g open parentheses straight f open parentheses straight x close parentheses close parentheses
Invertible space means space inverse space of space the space function space exist space using space this space property space
straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals straight f open parentheses straight g open parentheses straight x close parentheses close parentheses equals straight x
find space domain space of space the space function.
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Answered by Sneha shidid | 4th Jun, 2017, 12:03: PM