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