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Home / Doubts and Solutions/JEE/Mathematics

 

find the domain and the range of the given function f(x)=5/5-x

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Asked by khanmohammad20510 18th January 2022, 10:58 AM
Answered by Expert
Answer:
Given: f(x) = 5/5-x
5 minus straight x space can apostrophe straight t space be space 0 straight i. straight e. space straight x not equal to 5 So comma space the space domain space is space straight R minus open curly brackets 5 close curly brackets Let space straight y equals fraction numerator 5 over denominator 5 minus straight x end fraction rightwards double arrow 5 straight y minus xy equals 5 rightwards double arrow xy equals 5 straight y minus 5 rightwards double arrow straight x equals fraction numerator 5 straight y minus 5 over denominator straight y end fraction Denominator space can apostrophe straight t space be space 0 Therefore space straight y not equal to 0 So comma space the space range space will space be space straight R minus open curly brackets 0 close curly brackets
Answered by Expert 18th January 2022, 12:59 PM
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