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If a function f:[2,infinity)->B defined by f(x)=x^2-4x+5 is a bijection,then B?
Asked by g_archanasharma | 13 Apr, 2019, 21:31: PM
answered-by-expert Expert Answer
G i v e n colon space f left parenthesis x right parenthesis equals x squared minus 4 x plus 5 f left parenthesis x right parenthesis equals x squared minus 4 x plus 4 plus 1 equals left parenthesis x minus 2 right parenthesis squared plus 1 S I n c e space i t space i s space g i v e n space t h a space x greater or equal than 2 rightwards double arrow left parenthesis x minus 2 right parenthesis greater or equal than 0 space rightwards double arrow left parenthesis x minus 2 right parenthesis squared greater or equal than 0 rightwards double arrow left parenthesis x minus 2 right parenthesis squared plus 1 greater or equal than 1 rightwards double arrow f left parenthesis x right parenthesis greater or equal than 1 H e n c e comma space t h e space c o d o m a i n space o f space f space i. e. space B equals left square bracket 1 comma infinity right parenthesis
Answered by Renu Varma | 14 Apr, 2019, 16:11: PM

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JEE main - Maths
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