If the function f : R → R be such that f(x) = x − [x], where [x] denotes the greatest integer less than or equal to x, then f⁻¹(x) is

Question

MCQ (Single)Invertible Function and Its Inverse

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If f : R → R is given by f(x) = 3x − 5, then f⁻¹(x)

Let f : N → Y be a function defined as f(x) = 4x + 3, where, Y = {y ∈ N: y = 4x + 3 for some x ∈ N}. Show that f is invertible. Find the inverse.

Let f: R − {-1/3} → R − {0} be defined as f(x) = 5/(3x+1) is invertible. Find f⁻¹(x).

Let f(x) = x³ be a function with domain {0, 1, 2, 3}. Then domain of f⁻¹ is:

Let f(x) = 4 - (x - 7)^3 be an invertible function, then find f^-1(x).

Let f(x) = x³ be a function with domain {0, 1, 2, 3}. Then domain of f⁻¹ is: