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Let f:(-pi/2,pi/2)vecR be given by f(x)=...

Let `f:(-pi/2,pi/2)vecR` be given by `f(x)=(log(sec"x"+tan"x"))^3` then `f(x)` is an odd function `f(x)` is a one-one function `f(x)` is an onto function `f(x)` is an even function

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Draw the graph of the function f(x)=m a x{sinx ,cos2x},x in [0,2pi]. W...

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  2. Let f(x)={1+|x|,x<-1 [x],xgeq-1 , where [.] denotes the greatest integ...

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  3. Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then f(...

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  4. If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^2)]=2f(x)dot

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  5. If f: RrarrR and g:RrarrR are two given functions, then prove that 2...

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  6. Find the range of f(x)(x^2-x+1)/(x^2+x+1)

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  7. Find the range of the function f(x)=cot^(-1)(log)(0. 5)(x^4-2x^2+3)

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  8. Find the domain and range of f(x)=sqrt(3-2x-x^2)

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  9. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

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  10. Find the domain of f(x)=sqrt(((1-5^x)/(7^(-x)-7)))

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  11. If f is the greatest integer function and g is the modulus function, t...

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  12. If the functions f(x)a n dg(x) are defined on R rarr R such that f(x)=...

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  13. Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+xdot Then find the ...

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  14. Let f: R->R \ w h e r e \ f(x)=(x^2+4x+7)/(x^2+x+1) . Is f(x) \ on e \...

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  15. X and Y are two sets and f: X->Y If {f(c)=y; c subX, y subY} and {f^(-...

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  16. The function f(x) is defined in [0,1] . Find the domain of f(t a nx)do...

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  17. Find the equivalent definition of f(x)=max{x^2,(1-x)^2,2x(1-x)}where ...

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  18. If y=f(x)=((x+2))/((x-1)),t h e n (a) x=f(y) (b) f(1)=3 (c)y increa...

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  19. Find the period of (|sin4x|+|cos4x|)/(|sin4x-cos4 x|+|sin4x+cos4x|)

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  20. Consider the function: f(x)=m a xdot{1,|x-1|, min {4,|3x-1|}}AAx in ...

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