InterviewSolution
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InterviewSolution
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Explain Inverse Function? |
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Answer» Inverse function: If f: A → B is a one-one onto function (bijection), then for every x ∈ A, we have a y ∈ B, such that y = f (x). A new function f –1 from B to A which associates each element y ∈ B to its pre-image x = f –1(y) ∈ A can be defined and this function f –1 is called the inverse of function f. Thus, f: A → B is a bijection and f: a → b, then f –1: b → a. Method to find f –1 if f is invertible Step 1. Put y = f (x). Step 2. Solve y = f (x) and express x in terms of y. Step 3. The value of x obtained in step 2 gives f –1(y) Step 4. Replace y by x in f –1(y) to obtain f –1(x). |
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