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CBSE Class 11-science Answered

find the range of the following fn : (x^2+2x+1)/x^2-8x+12 
Asked by mkshashank19 | 03 Mar, 2015, 06:24: PM
answered-by-expert Expert Answer

C o n s i d e r space t h e space f u n c t i o n space f open parentheses x close parentheses equals fraction numerator x squared plus 2 x plus 1 over denominator x squared minus 8 x plus 12 end fraction R e w r i t i n g space t h e space a b o v e space f u n c t i o n comma space w e space h a v e comma f open parentheses x close parentheses equals fraction numerator open parentheses x plus 1 close parentheses squared over denominator open parentheses x minus 2 close parentheses open parentheses x minus 6 close parentheses end fraction f left parenthesis x right parenthesis space i s space a space r e a l space v a l u e d space f u n c t i o n comma space w h e n space x minus 2 not equal to 0 space a n d space x minus 6 not equal to 0 x not equal to 2 space a n d space x not equal to 6 T h u s comma space r a n g e space o f space f space i s space R minus open curly brackets 2 comma 6 close curly brackets

Answered by | 03 Mar, 2015, 06:38: PM

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