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If f : R → R is given by f(x) = 3x − 5, then f⁻¹(x)
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
Show that a function f : R₊ → A ⊂ N, defined as f(x) = 4x² + 12x + 15 is one-one. Find set A so that f is onto where R₊ = [0, ∞). Also, find if there exists a ∈ R₊ such that f(a) = 7. Justify.
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