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CBSE Class 11-science Answered

write the range of the following function
Asked by jaishrisayam68 | 22 Jul, 2022, 05:30: PM
Expert Answer
left parenthesis straight i right parenthesis
Since space straight x greater or equal than 5 space rightwards double arrow space straight x minus 5 greater or equal than 0
So comma space the space range space is space left square bracket 0 comma space infinity right parenthesis.

left parenthesis ii right parenthesis
fraction numerator straight k minus straight x over denominator straight x minus straight k end fraction
equals negative 1
So comma space the space range space is space left curly bracket negative 1 right curly bracket.

left parenthesis iii right parenthesis
fraction numerator straight x squared minus 16 over denominator straight x minus 4 end fraction
equals fraction numerator left parenthesis straight x minus 4 right parenthesis left parenthesis straight x plus 4 right parenthesis over denominator straight x minus 4 end fraction
equals straight x plus 4
When space straight x less than 4 space rightwards double arrow space straight x minus 4 less than 0
When space straight x greater or equal than 4 space rightwards double arrow space straight x minus 4 greater or equal than 0
So comma space the space range space is space left parenthesis negative infinity comma space infinity right parenthesis.
Answered by Renu Varma | 29 Jul, 2022, 05:44: PM
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