JEE Main 2018 — Functions Question with Solution
From: JEE Main 2018 (Online) 15th April Evening Slot
Question
Let f : A B be a function defined as f(x) = Where A = R {2} and B = R {1}. Then f is :
Choose an option
Show full solutionCorrect option: B
Correct answer
Binvertible and
Step-by-step explanation
Assume,
y = f(x)
y =
yx - 2y = x - 1
(y - 1)x = 2y - 1
x = = f -1(y)
As on the given domain the function is invertible and its inverse can be computed as shown above.
y = f(x)
y =
yx - 2y = x - 1
(y - 1)x = 2y - 1
x = = f -1(y)
As on the given domain the function is invertible and its inverse can be computed as shown above.
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