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If f(x)=2x+abs(x),g(x)=1/3(2x-abs(x)) an...

If `f(x)=2x+abs(x),g(x)=1/3(2x-abs(x))` and h(x)=f(g(x)), domain of `underbrace(sin^(-1)(h(h(h(h...h(x)...)))))_("n times")` is

A

[-1,1]

B

`[-1,-1/2] cup [1/2,1]`

C

`[-1,-1/2]`

D

`[1/2,1]`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  11. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

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  12. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g{f(x)} is invertible in the dom...

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  13. Domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) fo...

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  14. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

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  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

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  16. If f:R to R be defined by f(x) =2x+sinx for x in R, then check the na...

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  17. Let E={1,2,3,4}a n dF-{1,2}dot If N is the number of onto functions fr...

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  18. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

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  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

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  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

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  21. The domain of definition of function of f(x)=(log(2)(x+3))/(x^(2)+3x+2...

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