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

Asked by khanmohammad20510 | 18 Jan, 2022, 10:58: AM
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 Renu Varma | 18 Jan, 2022, 12:59: PM
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