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

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

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`f(x)=|x| g(x)=sin x`
` f: R-(0, a s): g: R-[-1,1] `
Computing fog:
Clearib, the range of g is a subset of the domain of f.
` =f circ g: R to R`
` ...
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RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. Find fog and gof , if f(x)=e^x , g(x)=(log)e x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let f be any real function and let g be a function given by g(x)=2x...

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  19. If f(x)=sqrt(1-x) and g(x)=(log)e x are two real functions, then de...

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  20. If f:(-pi//2,pi//2)->R and g:[-1,\ 1]->R be defined as f(x)=tanx and g...

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