2. Solved Papers
  3. RAJASTHAN ­ PET

RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    If\[f:N\to R,f(x)=\frac{(2x-1)}{2}\]and\[g:Q\to R,g(x)=x+2\]are two functions, then the value of\[(gof)\left( \frac{3}{2} \right)\]is

    A)  1               

    B)  3

    C)  \[\frac{7}{2}\]              

    D)  None of these

    Correct Answer: B

    Solution :

     \[gof(x)=g[f(x)]\] \[=g\left[ \frac{2x-1}{2} \right]=\frac{2x-1}{2}+2\] \[=\frac{2x-1+4}{2}=\frac{2x+3}{2}\] \[\therefore \] \[gof\left( \frac{3}{2} \right)=\frac{2\left( \frac{3}{2} \right)+3}{2}\]


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