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If f:RtoR is a function defined by f(x...

If `f:RtoR` is a function defined by
`f(x)=3x-2`
Show that `f` is one-one.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Which of the following satisfies the condition f^-1nef. f:R-{-1}toR-...

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  2. Which of the following satisfies the condition f^-1nef. f:R-{2}toR-{...

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  3. If f:RtoR is a function defined by f(x)=3x-2 Show that f is one-on...

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  4. Let A=NtimesN and 'ast' be the binary operation. On A defined by (a,b)...

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  5. If f(x)=frac(4x+3)(6x-4),xne2/3. Show that fof(x)=x, for all xne2/3.

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  6. If f(x)=frac(4x+3)(6x-4),xne2/3. What is the inverse of 'f'?

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  7. Let be a function defined by f(x) =sqrtx is a function if it defined f...

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  8. Let be a function defined by f(x) =sqrtx is a function if it defined f...

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  9. Let be a function defined by f(x) =sqrtx is a function if it defined f...

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  10. Let be a function defined by f(x) =sqrtx is a function if it defined f...

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  11. Check the injectivity and surjectivity of the following functions f:...

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  12. Check the injectivity and surjectivity of the following functions f:...

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  13. Consider the function f(x)=frac(x+1)(x-1),xne1 fof(2) =

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  14. Consider the function f(x)=frac(x+1)(x-1),xne1 what is the inverse o...

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  15. Consider the function f(x)=frac(x+1)(x-1),xne1 f(3)+f^-1(3)

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  16. Show that the function f:RtoR defined by f(x)=2x-3 is one-one and onto...

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  17. Which of the following figure represents the graph of a function on R ...

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  18. Write a function on R which is onto but not one-one.

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  19. A={1,2,3,4,6},ast is a binary operation on A is defined as aastb=HCF o...

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  20. A={1,2,3,4,6},ast is a binary operation on A is defined as aastb=HCF o...

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