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If f: R to R is defined by f(x)=(1-x^(2)...

If `f: R to R` is defined by `f(x)=(1-x^(2))/(1+x^(2))` then show that `f(tantheta)=cos2theta.`

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SRISIRI PUBLICATION-FUNCTIONS-EXERCISE(VSAQ)
  1. On what domain the functions f(x)=x^(2)-2x and g(x)=-x+6 are equal?

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  2. 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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  3. 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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  4. 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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  5. If the function f:{-1,1} to{0,2}, defined by f(x)=ax+b is a surjection...

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

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

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  8. Determine whether the function f:(o,oo) to R defined by f(x) log(e)x i...

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  9. Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is ...

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  10. Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is ...

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

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  12. If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the followin...

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  13. If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the followin...

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  14. Let A={1,2,3},B={a,b,c),C={p,q,r}. If f:A to B, g: B to C are defined ...

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  15. Determine whether the function f(x)=a^(x)-a^(-x)+sinx is even or odd.

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  16. Determine whether the function f(x)=sinx+cosx is even or odd.

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  17. P.T the real valued function f(x)= (x)/(e^(x)-1) + x/2 + 1 is an even ...

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  18. Find the domain of the real valued function f(x)=sqrt((x-alpha)(beta-x...

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  19. Find the domian of the real valued function f(x) = sqrt(log(0.3)(x-x)^...

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  20. Find the domain of f(x)=sqrt(x-[x])

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