the domain range of function f(x)=square root of (sinx+1/x)

Asked by Kalyanrao Chavan | 6th Aug, 2014, 10:41: PM

Expert Answer:

f left parenthesis x right parenthesis equals square root of fraction numerator sin space x space plus 1 over denominator x end fraction end root f left parenthesis x right parenthesis space b e c o m e s space u n d e f i n e d space w h e n space x equals 0 space a n d space w h e n space x space i s space n e g a t i v e S o space D o m a i n space o f space f left parenthesis x right parenthesis space i s space R to the power of plus minus left curly bracket 0 right curly bracket R a n g e space o f space f left parenthesis x right parenthesis space i s space M a x i m u m space a n d space M i n i m u m space v a l u e space f o r space sin x space i s space plus 1 space a n d space minus 1 S o space M a x i m u m space v a l u e space i s space a t t a i n e d space a t space x equals straight pi over 2 comma space w h i c h space i s space square root of 4 over straight pi end root a n d space z e r o space i s space a t t a i n e d space a t space x equals fraction numerator 3 straight pi over denominator 2 end fraction R a n g e space o f space f left parenthesis x right parenthesis equals open square brackets minus square root of 4 over straight pi end root space space comma space square root of 4 over straight pi end root space close square brackets

Answered by Dharma Teja | 7th Aug, 2014, 09:28: AM

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