Let f : A → B be a function defined as f ( x ) = x − 2 x − 1 , where A = R − { 2 } and B = R − { 1 } . Then f is

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Let f : A → B be a function defined as f ( x ) = x − 2 x − 1 ​ , where A = R − { 2 } and B = R − { 1 } . Then f is

TestHub · Accepted Answer

Suppose y = f ( x ) ​ ⇒ y = x − 2 x − 1 ​ ⇒ y x − 2 y = x − 1 ⇒ ( y − 1 ) x = 2 y − 1 ⇒ x = f − 1 ( y ) = y − 1 2 y − 1 ​ ​ As the function is invertible on the given domain and its inverse can be obtained as above.

Mathematics - Functions Question with Solution | TestHub

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