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If f(x)=(x-1)/(x+1),x!=-1, then show tha...

If `f(x)=(x-1)/(x+1),x!=-1,` then show that `f(f(x))=-1/x` provided that `x!=0,1.`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f(x) = x/(sqrt(1+x^2) then fofof(x)

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  2. Let f be a real function defined by f(x)=sqrt(x-1) . Find (fofof)(x...

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  3. If f(x)=(x-1)/(x+1),x!=-1, then show that f(f(x))=-1/x provided that x...

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  4. Find fog and gof , if f(x)=e^x , g(x)=(log)e x

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  5. Find fog and gof , if f(x)=x^2 , g(x)=cosx

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  6. Find fog and gof , if f(x)=|x| , g(x)=sinx

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  7. Find fog and gof , if f(x)=x+1 , g(x)=e^x

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  8. Find fog and gof , if f(x)=sin^(-1)x , g(x)=x^2

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  9. Find fog and gof , if f(x)=x+1 , g(x)=sinx

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  10. Find fog and gof , if f(x)=x+1 , g(x)=2x+3

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  11. Find fog and gof , if f(x)=c ,\ c in R , g(x)=sinx^2

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  12. Find fog and gof , if f(x)=x^2+2 , g(x)=1-1/(1-x)

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  13. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

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  14. L e tf: R->R :f(x)=|x|, Prove that fof=f

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  15. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

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  16. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

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  17. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

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  18. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

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  19. If f(x)=sinx and g(x)=2x be two real functions, then describe gof a...

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  20. Let f,\ g,\ h be real functions given by f(x)=sinx , g(x)=2x and h(...

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