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The domain of f(x)=3/(4-x^2)+log(10) (x^...

The domain of `f(x)=3/(4-x^2)+log_(10) (x^3-x)` (1) `(-1,0)uu(1,2)uu(3,oo)` (2) `(-2,-1)uu(-1,0)uu(2,oo)` (3) `(-1,0)uu(1,2)uu(2,oo)` (4) `(1,2)uu(2,oo)`

A

`(-1,0) cup (1,2) cup (2,oo)`

B

`(1,2)`

C

`(-1,0) cup (1,2)`

D

`(1,2) cup (2,oo)`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
  1. Find the domain of the function f(x)=log10((log10 x^2)-5log10 x+6)

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  2. Find the domain of the following function: f(x)=(x+0.5)^(log(0.5+x)^((...

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  3. The domain of f(x)=3/(4-x^2)+log(10) (x^3-x) (1) (-1,0)uu(1,2)uu(3,oo)...

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  4. The equivalent definition of f(x)=||x|-1|, is

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  5. If f(x)||x|-1|, then fof(x) equals

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  6. Find the range of f(x)=sec(pi/4cos^2x), where -oo<x<oo

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  7. The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2,...

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  8. The function f(x)=((1)/(2))^(sinx), is

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  9. If [x] and {x} represent the integral and fractional parts of x respe...

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  10. Let f(x)={{:( 0,x=0),(x^(2) sin pi//2x,|x| lt 1),(x|x|, |x| ge 1):}. T...

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  11. Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(...

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  12. The domain of definition of the function f(x)=tan((pi)/([x+2])), is wh...

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  13. The range of the function f(x)=sin [log (sqrt(4-x^(2))/(1-x)) is :

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  14. The range of the function y=(x+2)/(x^2-8x-4)

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  15. The range of the function f(x)=1+sinx+sin^(3)x+sin^(5)x+…… when x in ...

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  16. The period of the function f(x)=|sin 3x|+| cos 3x| , is

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  17. The function f(x)={{:( 1, x in Q),(0, x notin Q):}, is

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  18. Which of the following functions has period pi ?

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  19. The function f(x)=x[x] , is

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  20. If f(x) and g(x) are periodic functions with the same fundamental per...

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