Consider the functions and

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the functions

f(x)=3x-2

and

g(t)=\sqrt{5-t}

. (a) Find the domain of the composite function

(g\circ f)(x)

. (b) Hence evaluate

(g\circ f)(1)

, showing that the ordered pair obtained lies in the range of

g