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f:R-{0} to R is defined as f(x)=x+1/x th...

`f:R-{0} to R` is defined as `f(x)=x+1/x` then show that `(f(x))^(2)=f(x^(2))+f(1)`

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SRISIRI PUBLICATION-FUNCTIONS-EXERCISE(VSAQ)
  1. If f:RtoR,g:RtoR are defined by f(x)=2x^(2)+3 and g(x)=3x-2, then find...

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  2. If f:RtoR,g:RtoR are defined by f(x)=2x^(2)+3 and g(x)=3x-2, then find...

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  3. f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2...

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  4. If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3), then S.T f(x) +...

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  5. If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)|, then show that f(...

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  6. If f:R to R,g:R to R are defined by f(x)=3x-2,g(x)=x^(2)+1, then find ...

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  7. If f:R to R,g:R to R are defined by f(x)=3x-2,g(x)=x^(2)+1, then find ...

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  8. If f:R to R,g:R to R are defined by f(x)=2x-3,g(x)=x^(3)+5 then find (...

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  9. If f(x)=1+x+x^(2)+..... for |x|lt1 then show that f^(-1)(x)=(x-1)/(x)

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  10. If f(x)=(x-1)/(x+1),x ne pm1, show that fof^(-1)(x)=x.

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  11. If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)...

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  12. If f(x)=e^(x) and g(x)=log(e)x, then show that "fog=gof" and find f^(-...

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  13. Let f(x) = x^(2), g(x) = 2^(x). Then solve the equation (fog)(x)=(gof)...

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  14. On what domain the functions f(x)=x^(2)-2x and g(x)=-x+6 are equal?

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  15. If f(x) = (cos^(2)x+sin^(4)x)/(sin^(2)x + cos^(4)x) AA x in R then sho...

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  16. If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(t...

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  17. Is g={(1,1),(2,3),(3,5),(4,7)} is a function from A={1,2,34,}. to B={1...

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  18. If the function f:{-1,1} to{0,2}, defined by f(x)=ax+b is a surjection...

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  19. If f:N to N is defined as f(x)=2x+5, is f onto?

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  20. Determine whether the functionf:R to (0,oo) defined by f(x) = 2^(x) ...

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