Question

7.) If f:R → R and g: R → R are defined by f(x) = x" and g(x)= x* then check if f, g
are one-one and fog is one-one?​

Answer 1

Step-by-step explanation:

We have, f(x)=x−[x]={x}…(1)

where {x} is the fractional part of x

If g(x)=[x], where [x] is the greatest integer part of x, then

The value of g(x) will always be an integer.

And ∴f(g(x))=f([x])=0

∵ the fractional part of g(x) i.e [x] is always 0.

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