The domain and range of the function f(x)=log 2 log3log4(x) is

Asked by Kalyanrao Chavan | 16th Jul, 2014, 10:15: PM

Expert Answer:

f left parenthesis x right parenthesis equals log subscript 2 open parentheses log subscript 3 open parentheses log subscript 4 open parentheses x close parentheses close parentheses close parentheses D o m a i n space o f space f left parenthesis x right parenthesis space i s space g i v e n space b y i f space x equals 4 cubed space t h e n space f left parenthesis x right parenthesis equals 0 i f space x equals 4 squared space t h e n space f left parenthesis x right parenthesis equals n e g a t i v e space n u m b e r i f space x equals 4 to the power of 1 space t h e n space f left parenthesis x right parenthesis equals n o t space d e f i n e d S o space f left parenthesis x right parenthesis space i s space d e f i n e d space f o r space a l l space v a l u e s space o f space x greater than 4 D o m a i n space o f space f left parenthesis x right parenthesis space i s space x greater than 4 R a n g e space o f space f left parenthesis x right parenthesis space i s space open parentheses minus infinity comma infinity close parentheses

Answered by Dharma Teja | 17th Jul, 2014, 10:33: AM

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