FunctionHard
Question
Let f : (2, 4) → (1, 3) be a function defined by f (x) = x - 
(where [.] denotes the greatest integer function), then f-1 (x) is equal to :
(where [.] denotes the greatest integer function), then f-1 (x) is equal to :Options
A.2x
B.x +
C.x + 1
D.x - 1
Solution
x ∈ (2, 4) ⇒ 
= 1
So f(x) = x - 1 ⇒ y = x - 1
⇒ x = y + 1 ⇒ f-1 (x) = x + 1
= 1So f(x) = x - 1 ⇒ y = x - 1
⇒ x = y + 1 ⇒ f-1 (x) = x + 1
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