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Let f(x)=(x+1)^2-1, xgeq-1. Then the set...

Let `f(x)=(x+1)^2-1, xgeq-1.` Then the set `{x :f(x)=f^(-1)(x)}` is `{0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2}` (b) `{0,1,-1` `{0,1,1}` (d) `e m p t y`

A

`{0,-1,(-3+I sqrt(3))/(2),(-3-isqrt(3))/(2)}`

B

`{0,1-1}`

C

{0,-1}

D

empty

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-2: CONCEPT APPLICATOR
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  11. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(...

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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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  16. Let f(x)=x^(2)+3x-3, x ge0 if in points x(1),x(2),x(3),...x(n) are so ...

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  17. "If "f:R to R, g:R and h:R to R be three functions are given by f(x)=x...

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  18. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

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

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