Let be given by and by

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

Problem

Let

f:\mathbb R\to\mathbb R

be given by

f(x)=\sqrt{x+4}

and

g:\mathbb R\to\mathbb R

by

g(x)=\dfrac{1}{x-2}

. Explain why

(g\circ f)(0)

is not defined even though

f(0)

exists.

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