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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)]uu[(1)/(2),1]`

C

`[-1,-(1)/(2)]`

D

`[(1)/(2),1]`

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A
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-2: CONCEPT APPLICATOR
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  15. Let f(x)=a x+ba n dg(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

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  19. Which of the following functions is the inverse of itself? f(x)=(1-x)/...

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