Theory of Intelligence
11TH•Mathematics•Theory Of Quadratic Functions•Question 3

Solution

Find the inverse of the following quadratic functions. Also find their domain and range:

Solution

A quadratic is not one-to-one on all R\mathbb{R}, so we restrict the domain (given in each part).

Steps:

  1. Let y=f(x)y=f(x).
  2. Interchange xx and yy.
  3. Solve for yy.
  4. Choose the correct branch using the given domain restriction.

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