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Let f:W->W , be defined as f(x)=x-1 , if...

Let `f:W->W` , be defined as `f(x)=x-1` , if `x` is odd and `f(x)=x+1` , if `x` is even. Show that `f` is invertible. Find the inverse of `f` , where `W` is the set of all whole numbers.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...

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  3. Let f:W->W , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x ...

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  4. Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...

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  5. x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...

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  7. Two schools P and Q want to award their selected students on the va...

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  17. Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-...

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  18. A trust fund has Rs. 35,000 is to be invested in two different types o...

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  19. Find the solution f the differential equation (dy)/(dx)=x^3e^(-2y)dot

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  20. In the interval pi/2 lt x lt pi, find the value of x for which the mat...

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