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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If\[f(x)=ax+b\]and\[g(x)=cx+d,\]then\[f[g(x)]-g[f(x)]\]is equivalent to

    A)  \[f(a)-g(c)\]      

    B)         \[f(c)+g(a)\]                                              

    C)  \[f(d)+g(b)\]    

    D)         \[f(b)-g(b)\]

    E)  \[f(d)-g(b)\]

    Correct Answer: E

    Solution :

    Given, \[f(x)=ax+b\]and\[g(x)=cx+d\] Now, \[f[g(x)]-g[f(x)]\] \[=f(cx+d)-g(ax+b)\] \[=a(cx+d)+b-[c(ax+b)+d]\] \[=acx+ad+b-acx-bc-d\] \[=ad+b-(bc+d)\] \[=f(d)-g(b)\]


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