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Show the f:R-{-1)rightarrowR-{1} given b...

Show the `f:R-{-1)rightarrowR-{1}` given by `f(x)=frac[x][x-1]` is invertible. Also find `f^(-1)`.

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The correct Answer is:
`f^(-1)(x) (x)/(1 - x) AA x epsilon R - {1}`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section C
  1. Answer any three questions Find the coordinates of the point, where ...

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  2. Find the equation of the two lines through the origin which intersect ...

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  3. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

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  4. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

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  5. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  6. Show the following system of equations is consistent 2x - y + 3z = 5, ...

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  7. If A and B are two independent events such that P(barAcapB)=2/15 and P...

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  8. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

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  9. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

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  10. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  11. Find the particular solution of the differential equation (1 - y^(...

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  12. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

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  13. Answer any three questions Find the coordinates of the point, where ...

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  14. Find the equation of the two lines through the origin which intersect ...

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  15. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

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  16. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

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  17. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  18. Show the following system of equations is consistent 2x - y + 3z = 5, ...

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  19. If A and B are two independent events such that P(barAcapB)=2/15 and P...

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  20. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

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