The domain of definition of function f(x)=(-pie/3 + cos^-1 (2x))^1/2
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1) The first thing to notice is that everything is inside root
2) That is -π/3+cos^-1(2x) is >=0
3)cos^-1(2x)>=π/3
4) Now which value is given out when cos has angle π/3
5)So we know cos^-1(1/2)=π/3
6) Now compare 1/2=2x
7)x=1/4
8)anything greater than 1/4 is allowed
9)Therefore answer is {1/4, infinity}
Hope it helps
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1) The first thing to notice is that everything is inside root
2) That is -π/3+cos^-1(2x) is >=0
3)cos^-1(2x)>=π/3
4) Now which value is given out when cos has angle π/3
5)So we know cos^-1(1/2)=π/3
6) Now compare 1/2=2x
7)x=1/4
8)anything greater than 1/4 is allowed
9)Therefore answer is {1/4, infinity}
Hope it helps
Mark as brainliest
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