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find g 0 f and f 0 g if f:R rarr R and g...

find `g 0 f and f 0 g` if `f:R rarr R` and `g:R rarr R` are given by `f(x)=cosx and g(x)=3x^2` also show that `g 0 f` is not equal to `f 0 g`

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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. find the period of the following functions: f(x)=cos(x/2)

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  2. find the period of the following functions: f(x)=tan (x/4)

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  3. find g 0 f and f 0 g if f:R rarr R and g:R rarr R are given by f(x)=...

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  4. Which of the following relations are functions? Give reasons. If it is...

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  5. which of the following relation are functions and give reason if it is...

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  6. Which of the following relations are functions? Give reasons. If it is...

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  7. if f(x)=(x-1)/abs(x-1) find the value of f(-1) and f(2)

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  8. Find the domain and range of the following function f(x)=sqrt(x-1)

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  9. Find the domain and range of the following function f(x)=abs(x-1)

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  10. Find the domain and range of the following function f(x)=2-3x, x in R,...

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  11. Find the domain and range of the following function f(x)=x^2+2

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  12. Find the domain and range of the following function f(x)=1/x

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  13. Find the domain and range of the following function f(x)=-absx

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  14. Find the domain and range of the following function f(x)=sqrt(16-x^2)

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  15. Find the domain and range of the following functions: (x^(2))/(1+x^(...

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  16. let f={(1,1),(2,3),(0,-1),(-1,-3)} be a function from Z to Z defined ...

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  17. Find the domain of the function f(x)=(x^2+3x+5)/(x^2-5x+4)

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  18. Find the domain of the function f(x)=(x^2+2x+1)/(x^2-8x+12)

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  19. Find the domain of the function f(x)=(x^2-x+x)/(x^2+x+1)

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  20. Find the domain of the function f(x)=(x-2)/(3-x)

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