JEE Main & Advanced Sample Paper JEE Main Sample Paper-38

  • question_answer Let \[f(x)=\frac{2}{x+1},\,\,g(x)=\cos x\] and \[h(x)=\sqrt{x+3}\] then the if range of the composite function fogoh, is

    A) \[{{R}^{+}}\]                                 

    B) \[R-\{0\}\]

    C) \[[1,\,\,\infty )\]            

    D) \[{{R}^{+}}-\{1\}\]

    Correct Answer: C

    Solution :

     Let \[f\] image of \[goh\] image,\[fogoh=F(x)=f[goh(x)]\] \[F(x)=\frac{2}{\cos \sqrt{x+3}+1}\] Now\[x+3\ge 0\]and\[-1<\cos \sqrt{x+3}\le 1\] \[\sqrt{x+3}\ne (2n-1)\pi ,\,\,n\in N\]

adversite


You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos