Let with domain and with domain .

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

Problem

Let

f(x)=\sqrt{x}

with domain

x\ge 0

and

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

with domain

x\neq 0

. (a) Determine the domain of the composite function

(g\circ f)

. (b) Evaluate

(g\circ f)(4)

.

Related theory

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