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The function of f is continuous and has ...

The function of `f` is continuous and has the property `f(f(x))=1-xdot` Then the value of `f(1/4)+f(3/4)` is

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(x)=x+f(x-1) for AAx in R. If f(0)=1,f i n d \ f(100).

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  2. Solve logx(x^2-1)<=0

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  3. The function of f is continuous and has the property f(f(x))=1-xdot Th...

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  4. Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]

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  5. If the domain of y=f(x)i s[-3,2], then find the domain of g(x)=f(|[x]|...

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  6. The number of integral values of x satisfying the inequality (3/4)^(6...

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  7. Let f be a function defined on [0,2]. Then find the domain of functio...

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  8. Find the domain of f(x) = sin^-1 [ log9(x^2/4)]

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  9. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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  10. Draw the graph of the function f(x)=m a x{sinx ,cos2x},x in [0,2pi]. W...

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

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

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

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

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

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

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

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

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

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

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