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

Let `A={1,2,3},B={a,b,c),C={p,q,r}.` If `f:A to B, g: B to C` are defined by `f={(1,a),(2,c),(3,b)},g={a,q),(b,r),(c,p)}` then show that `f^(-1)og^(-1)=(gof)^(-1)`.

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SRISIRI PUBLICATION-FUNCTIONS-EXERCISE(VSAQ)
  1. If f:N to N is defined as f(x)=2x+5, is f onto?

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

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

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

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

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

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  7. 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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  8. 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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  9. 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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  10. Determine whether the function f(x)=a^(x)-a^(-x)+sinx is even or odd.

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

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

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

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

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

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

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

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  18. Find the domain of f(x)=log(x-|x|).

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  19. Find the domain of f(x)=(1)/((root(3)(x-2)(log(4-x)10)).

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  20. Find the domain and range of the function f(x) = |x|+|1+x|

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