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Show that if f : A ->Band g : B ->Care o...

Show that if `f : A ->B`and `g : B ->C`are one-one, then `gof : A ->C`is also one-one.

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The correct Answer is:
`f` is one - one `x_(1) = x_(2)`, conclusion.
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OSWAAL PUBLICATION-RELATIONS & FUNCTIONS-FUNCTION (Short Answer Type Questions-I)
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  2. Prove that the greatest function, f: R to R, defined by f(x) = [x], wh...

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  3. Show that the function f: N->N given by f(1)=f(2)=1 and f(x)=x-1 for e...

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  4. Let f:R rarr R be defined by f(x)=x^(2)+1, find the pre image of 17 an...

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  5. If f: R to R defined as f(x) = (2x-7)/( 4) is an invertible function, ...

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  6. If f: R->R defined by f(x)=3x-4 is invertible then write f^(-1)(x) .

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  7. What is the range of the function f(x)=(|x-1|)/((x-1))?

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  8. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

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  9. Let A= R- (3), B= R-{1}. Let f: A to B be defined by f(x)= ((x-2)/(x-3...

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  10. Let f: W ->Wbe defined as f(n) = n - 1, if is odd and f(n) = n + 1, i...

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  11. Let f: NvecR be a function defined as f(x)=4x^2+12 x+15. Show that f: ...

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  12. Show that the function f in A=|R-{2/3}\ defined as f(x)=(4x+3)/(6x-4)...

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  13. Consider f: R+vec[4,\ oo] given by f(x)=x^2+4. Show that f is invertib...

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  14. Let f:N->N be defined as f(n)= (n+1)/2 if n is odd and f(n)=n/2 if n i...

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  15. If f: R->R be the function defined by f(x)=4x^3+7 , show that f is a b...

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  16. Show that the function f: Rvec given by f(x)=x a+b , where a , b in R...

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  17. Consider f: Rvec[-5,oo) given by f(x)=9x^2+6x-5 . Show that f is in...

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