Show that the function f:R→R given …
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Show that the function f:R→R given by f(x)=x3 is injective.
is it right to answer the question as follows?
Let x1,x2 {tex}\in{/tex} R
f(x1)=x13
f(x2)=x23
f(x1)=f(x2)
{tex}\implies{/tex} x13=x23
on taking cube root on both sides,
x1=x2
therefore f is injective function.
Posted by Vishnumaya Menon 8 years, 2 months ago
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