A) f (g (x)) > f (g (x - 1))
B) f (g (x)) > f (g (x + 1))
C) g(f (x)) > g (f (x - 1))
D) g(f (x)) < g (f (x + 1))
Correct Answer: B
Solution :
Since f ¢(x) > 0 and g¢(x) < 0, therefore f (x) is increasing function and g(x) is decreasing function. \[\Rightarrow \] \[f(x+1)>f(x)\] (x) and \[g(x+1)<g(x)\] \[\Rightarrow \] \[g[f(x+1)]<g[f(x)]\]and\[[g(x+1)]<f[g(x)]\] Hence option (b) is correct.You need to login to perform this action.
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