The function is defined by .

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

Problem

The function

f:\mathbb R\to\mathbb R

is defined by

f(x)=x^{2}

. (i) Why is

f

not invertible on

\mathbb R

? (ii) Write one suitable domain restriction that makes

f

invertible.

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