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If a polynomial function `f(x)` satisfies `f(f(f(x))=8x+21 ,` where `p and q` are real numbers, then `p+q` is equal to _______

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(x)=(2cosx-1)(2cos2x-1)(2cos2^2x-1)...(2cos2^(n-1) x-1), (where n...

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  2. The number of integers in the domain of function, satisfying f(x)+f(x^...

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  3. If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where p and ...

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  4. If f(2x+y/8,2x-y/8)=x y , then f(m , n)+f(n,m)=0 (a) only when m=n (...

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  5. Number of solution of equation [x]^2=x+2{x} is/are , where [.] and {.}...

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  6. The range of f(x)=[1+sinx]+[2+sin(x/2)]+[3+sin (x/3)]+....+[n+sin (x/n...

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  7. The domain of the function f(x)=sqrt(log((|x|-1))(x^2+4x+4)) is (a) ...

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  8. The number of roots of x^2-2=[sinx],w h e r e[dot] stands for the grea...

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  13. Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...

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  14. The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fraction...

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  15. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then a) f(x)=sin^2x ,g...

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  16. Each question has four choices, a,b,c and d,out of which only one is ...

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  17. Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...

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  18. Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...

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  19. If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...

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  20. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

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