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Q.
The function $f : R \to R$ defined by $f[x) = 6^x + 6^{|x|}$ is
Relations and Functions - Part 2
Solution:
$6^{x} > 0$, $6^{\left|x\right|} > 0$ for all $x \in R$.
So, $f$ is into. For different values of $x$, $6^x$ and $6^{|x|}$ are different positive numbers. Clearly, $f$ is many-one.