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Find the domain of definitions of the fo...

Find the domain of definitions of the following function: `f(x)=log_(10)(1-log_(10)(x^(2)-5x+16))`

A

(1,3)

B

(2,3)

C

[2,3]

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
  1. If x in R , then f(x)=cos^(-1)((1-x^(2))/(1+x^(2))) is equal to

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  2. The equivalent definition of the function f(x)=lim(n to oo)(x^(n)-x^(-...

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  3. Find the domain of definitions of the following function: f(x)=log(10)...

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  4. The domain of definition of f(x)=log(0.5){-log(2)((3x-1)/(3x+2))}, is

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  5. Find the domain of the function : f(x)=sqrt(((log)(0. 2)|x-2|)/(|x|))

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  6. The domain of the function y=sqrt(log10(log10x)-log10(4-log10x)-log10 ...

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  7. The function f(x)=log(2x-5)(x^(2)-3x-10) is defined for all belonging ...

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  8. The domain of definition of f(x)=log(1.7)((2-phi'(x))/(x+1))^(1//2), w...

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  9. f(x)=log(100x)((2log(10)x+1)/(-x)) exists, if …. .

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  10. The value of x for which y=log(2){-log(1//2)(1+(1)/(x^(1//4)))-1} is a...

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  11. Find the domain of the function f(x)=log10((log10 x^2)-5log10 x+6)

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

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

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

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

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

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

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

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

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