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Give examples of two one-one functions `f_1` and `f_2` from `R` to `R` such that `f_1+f_2: R->R` , defined by `(f_1+f_2)(x)=f_1(x)+f_2(x)` is not one-one.

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  2. Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ...

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  3. Give examples of two one-one functions f1 and f2 from R to R such t...

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  6. Suppose f1 and f2 are non-zero one-one functions from R to R . Is (...

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  7. Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...

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  8. Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...

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  9. Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...

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  10. Show that f: R->R , given by f(x)=x-[x] , is neither one-one nor onto.

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  11. Let f: N->N be defined by: f(n)={(n+1)/2, if n is odd (n-1)/2, if n i...

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  12. Let R be the set of real numbers. If f: R->R :f(x)=x^2 and g: R->R ...

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  13. Let : R->R ; f(x)=sinx and g: R->R ; g(x)=x^2 find fog and gof .

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  14. Let f:{2,3,4,5}vec{3,4,5,9}a n dg:{3,4,5,9}vec{7, 11 , 15} be function...

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  15. Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} be given by ...

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  16. Find gof and fog , if f: R->R and g: R->R are given by f(x)=|x| and g(...

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  17. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

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  18. If the function f: R->R be given by f(x)=x^2+2 and g: R->R be given by...

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  19. If f: R-{7/5}->R-{3/5} be defined as f(x)=(3x+4)/(5x-7) and g: R-{3/5}...

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  20. Find the derivative of f(x) = x^2- 3x + 2.

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