# Find whether f:Z - Z defined by f(x) = x2 + 5 for all x belongs Z is one one or not.

the given function is
and $f\left(-x\right)=\left(-x{\right)}^{2}+5={x}^{2}+5$
therefore $f\left(x\right)=f\left(-x\right)$

therefore the function has same value for positive and negative x  thus function is not one-one.

hope this helps you.

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no it is not a one one function

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