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f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) t...

`f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x)` then

A

fundamental period of `f(x) " is " pi`

B

range of `f(x)" is "[2, oo)`

C

domain of `f(x)` is R

D

`f(x)=2` has 3 solution in `[0, 2pi]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`f(x)=|cosx|+|secx|.`
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CENGAGE-RELATIONS AND FUNCTIONS-Exercise (Multiple)
  1. The domain of the function f(x)=log(e){log(|sinx|)(x^(2)-8x+23)-(3)/...

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  2. Let f(x)=sgn(cot^(-1)x)+tan(pi/2[x]), where [x] is the greatest intege...

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  3. f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) then

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  4. If the following functions are defined from [-1,1]to[-1,1], select tho...

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  5. Let f(x)={x^2-4x+3,x<3x-4,xgeq3 a n dg(x)={x-3,x<4x^2+2x+2,xgeq4 the...

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  6. Let f(x)="max"(1+s in x ,1,1-cosx),x in [0,2pi],a n dg(x)=max{1,|x-1|}...

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  7. Consider the function y =f(x) satisfying the condition f(x+1/x)=x^2+1...

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  8. Consider the real-valued function satisfying 2f(sinx)+f(cosx)=xdot the...

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  9. If f: R^+rightarrowR^+ is a polynomial function satisfying the functio...

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  10. f(x)=x^2-2a x+a(a+1),f:[a ,oo)rightarrow[a ,oo)dot If one of the solut...

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  11. Which of the following function is/are periodic?

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  12. Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n...

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  13. lf the fundamental period of function f(x)=sinx + cos(sqrt(4-a^2))x is...

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  14. f(x)=sin^(-1)[e^(x)]+sin^(-1)[e^(-x)] where [.] greatest integer funct...

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  15. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

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  16. The set of all values of x satisfying {x}=x[xx] " where " [xx] repres...

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  17. The function 'g' defined by g(x)= sin(sin^(-1)sqrt({x}))+cos(sin^(-1)s...

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  18. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

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  19. Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x) is not identically zer...

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  20. Let f: RvecR be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in ...

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