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If f:RtoR is defined by f(x)=|x|, then...

If `f:RtoR` is defined by `f(x)=|x|`, then

A

`f^(-1)(x)=-x`

B

`f^(-1)(x)=1/(|x|)`

C

`f^(-1)(x)` does not exist

D

`f^(-1)(x)=1/x`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `f(X)` is a many-one function so its inverse does not exist.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 12-Paper 2 (Mathematics)
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  2. int(1-cosx)cosec^(2)x dx is equal to

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  3. The system of equations x+y+z=5, x+2y+lamdaz=mu, x+2y+3z=9 has (i)...

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  4. Find the general solution of the differential equations sec^2xtany dx...

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  5. sin[3sin^(-1)((1)/(5))] is equal to

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  6. If f:RtoR is defined by f(x)=|x|, then

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  7. The equations of the circle which pass through the origin and make int...

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  8. A circle with centre at (2, 4) is such that the line x+y+2= 0 cuts a ...

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  9. The equation of the parabola whose focus is (3,-4) and direction 6x-7y...

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  10. The equation (x^(2))/(2-lamda)-(y^(2))/(lamda-5)-1=0, represent and el...

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  11. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

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  12. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

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  13. If the mean and the variance of a binomial variable X are 2 and 1 resp...

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  14. Twelve tickets are numbered from 1 to 12. One ticket is drawn at rand...

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  15. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

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  16. Write the angle between the line (x-1)/2=(y-2)/1=(z+3)/-2 and the plan...

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  17. The number of distinct values of lamda, for which the vectors -lamda^(...

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  18. The solution of the differential equation (dy)/(dx)=(x-y+3)/(2x(x-y)+5...

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  19. The general solution of equation 3 tan(theta - 15^o) = tan(theta+15^o)...

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  20. The mean and standard deviation of a binomial variate X are 4 and 3 re...

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