For the functions given by and given by

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

Problem

For the functions

f:\mathbb R\to\mathbb R

given by

f(x)=2x+3

and

g:\mathbb R\to\mathbb R

given by

g(x)=\dfrac{x-3}{2}

, verify that

f

and

g

are inverses of each other. (i) Find

(f\circ g)(x)

. (ii) Find

(g\circ f)(x)

. (iii) Hence state the relation between

f

and

g

.

Related theory

Browse the problem library