2. Solved Papers
  3. JEE Main & Advanced

JEE Main & Advanced JEE Main Paper (Held On 12 April 2014)

  • question_answer
    Let f and g be two differentiable functions on R such that f'(x) > 0 and g'(x) < 0 for all \[x\in R\]. Then for all x:   [JEE Main Online Paper ( Held On 12 Apirl  2014 )

    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.
You will be redirected in 3 sec spinner