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if, k=x^2-x+1/x^2+x+1 Then, what is the range of values of k?
Asked by misanupama | 22 Jun, 2019, 02:16: PM
answered-by-expert Expert Answer
k equals fraction numerator x squared minus x plus 1 over denominator x squared plus x plus 1 end fraction k space i s space d e f i n e d space f o r space a l l space r e a l space v a l u e s space o f space x x squared plus 1 equals x squared plus 1 x squared minus x plus 1 less than x squared plus x plus 1 space space space f o r space x greater than 0 space a n d space space x squared minus x plus 1 greater than x squared plus x plus 1 space space space f o r space x less than 0 space rightwards double arrow fraction numerator x squared minus x plus 1 over denominator x squared plus x plus 1 end fraction less than 1 space f o r space x greater than 0 space a n d space fraction numerator x squared minus x plus 1 over denominator x squared plus x plus 1 end fraction greater than 1 space f o r space x less than 0 A l s o comma space x squared minus x plus 1 not equal to 0 space f o r space x element of R space space a n d space space x squared plus x plus 1 not equal to 0 space f o r space x element of R T h e r e f o r e comma space fraction numerator x squared minus x plus 1 over denominator x squared plus x plus 1 end fraction not equal to 0 T h u s space k not equal to 0 H e n c e comma space t h e space r a n g e space o f space k space i s space left parenthesis negative infinity comma infinity right parenthesis minus left curly bracket 0 comma 1 right curly bracket
Answered by Renu Varma | 26 Jun, 2019, 10:43: AM

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