Self Studies

Relations and F...

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  • Question 1
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    The solution of $$8x\equiv 6(mod \  14) $$ is

  • Question 2
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    If f(x)=ex+ex2f(x)=\dfrac{e^{x}+e^{-x}}{2}, then the inverse of f(x)f(x) is

  • Question 3
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    If f(x)=(1x)1/2f(x)=(1-x)^{1/2} and g(x)=ln(x)g(x)= \ln(x)  then  the  domain  of (gof)(x)(gof)(x) is

  • Question 4
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    If f:R+Rf:R^{+}\rightarrow R such that f(x)=log5xf(x)=\log_{5} x then f1(x)=f^{-1}(x)=

  • Question 5
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    If f(x)=x+1x1(x1)f(x)=\dfrac{x+1}{x-1}(x\neq 1) then fofofof(x)=fofofof(x)=

  • Question 6
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    If f:[1,)Bf:[1,\infty )\rightarrow B  defined  by the function f(x)=x22x+6 f(x)=x^{2}-2x+6 is a surjection, then BB is equals to

  • Question 7
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    If f:RR+f:R\rightarrow R^{+} then f(x)=(13)x\displaystyle f(x)=\left(\dfrac{1}{3}\right)^{x}, then f1(x)=f^{-1}(x)=

  • Question 8
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    If  X={1,2,3,4,5} X =\{1, 2,3,4,5\} and Y={1,3,5,7,9}Y =\{1,3,5,7,9\}, determine which of the following sets represent a relation and also a mapping?

  • Question 9
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    If A =={x:x23x+2=0x : x^{2}-3x+2= 0}, and RR is a universal relation on AA, then RR is

  • Question 10
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    If f(x)=2+x3f(x)=2+x^{3}, then f1(x)f^{-1}(x) is equal to

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