Q11 of 99 Page 42

If f be a greatest integer function and g be an absolute value function, find the value of


Formula used: (i) f o g = f(g(x))


(ii) g o f = g(f(x))


Given: (i) f is a greatest integer function


(ii) g is an absolute value function


f(x) = [x] (greatest integer function)


g(x) = (absolute value function)







Substituting values from (i) and (ii)



⇒ [1.5] +


⇒ 1 + 1 = 2


Ans) 2


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