Let be defined by .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f:R→Rf:\mathbb R\to\mathbb R be defined by f(x)=3x+2f(x)=3x+2. (i) Prove that ff is injective. (ii) Prove that ff is surjective. (iii) Hence, find the inverse function f−1f^{-1}. State its domain and co-domain.

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