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The relation f is defined by f(x)={x^2,0...

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.

Text Solution

Verified by Experts

The correct Answer is:
N/a
At x = 3
`f(3)=3^(2)=9`
and `f(3)=3xx3=9`
`because` f has a unique value at x = 3
Therefore, f is a function. But , at x=2
`g(2)=2^(2)=4`
and `g(2)=3xx2=6`
`because` g has no unique value at x = 2.
`therefore` g is not a function.
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