Consider the real-valued function given by .

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

Problem

Consider the real-valued function

f:\mathbb R\to\mathbb R

given by

f(x)=3x-5

. (i) Show that

f

is injective. (ii) Show that

f

is surjective. (iii) Hence obtain an explicit expression for

f^{-1}

and state its domain and codomain.