The relation f is defined by `f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10`The r – InterviewSolution

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1.	The relation f is defined by `f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10`The relating g is defined by `g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10`Show that f is a function and g is not a function.
Answer» We have, dom `(f)=[0,10]subR`. Now, `f(2)=2^(2)=4` and also, `f(2)=(3xx2)=6`. As such a single element, namely 2 has two distinct images, namely 4 and 6. `:.` f is not a function.

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