MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Let q(x)=x2−6x+11 with x∈R.
(i) Identify an interval I on which q is one–one and justify your choice.
(ii) For x∈I, find q−1(x) in simplest form.
(iii) Prove that q∘q−1=Identity on the appropriate set.
(iv) Evaluate q−1(7).