Suppose and are functions

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

Problem

Suppose

f(x)

and

g(x)

are functions. Function

f(x)

has domain

D_f

and range

R_f

. Function

g(x)

has domain

D_g

and range

R_g

. (1) Under what circumstance will

(f\circ g)(x)

be defined? (2) Assuming

(f\circ g)(x)

is defined, find its domain.