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Let f={(1,a),(2,b),(3,c),(4,d)} and g={(...

Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determine gof and fog if possible. Test whether fog=gof.

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fog is not defined `gof={ (1,x),(2,x),(3,y),(4,x) }`
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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
  1. Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].

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  2. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  3. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

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  4. Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...

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  5. Let x Epsilon (2 π/4, π), y=| cos x | +| sin x | what is dy/dx ?

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  6. Write the least value of a for which the function f defined by f(x)=x^...

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  7. Evaluate:int x^2 dx/x*3 +1.

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  8. Find the differential equation n whcse solution is : y = ax^2 + bx + c...

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  9. What is the projection of the line segment joining (1,3,-1) and (3,2,4...

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  10. If vec a=(2,-2,1), vec b =(2,3,6) and vec c =(-1,0,2) then what is the...

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  11. An animal feed company must produce 200kg of a mixture consisting of i...

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  12. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

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  13. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  14. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  15. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  16. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

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  17. Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t

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  18. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

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  19. inttan^-1(secx+tanx)dx

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  20. If the magnitude of the difference of two unit vectors is sqrt3 then f...

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