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Show that the function f : X -> Y, such ...

Show that the function f : X -> Y, such that f(x)= 5x + 7 is one-one.

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Show that function defined by f: N rarr N , f (x) = x^3 is one-one but not onto.

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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Show that the function f : X -> Y, such that f(x)= 5x + 7 is one-one.

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  2. Which of the following functions is an odd function?

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  3. Given f(x)= sqrt(8/(1-x)+8/(1+x)) and g(x) = 4/(f(sinx))+4/(f(cosx)) t...

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  4. Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all po...

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  5. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

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  6. Which of the following function is surjective but not injective. (a) ...

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  7. If f(x) = 2 x^3 + 7x - 5 then f^(-1) (4) is :

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  8. The range of the function f(x)=(e^(x)*logx*5^(x^(2)+2)*(x^(2)-7x+10)...

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  9. If x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3), then which of the follo...

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  10. Let f(x)=((2sinx+sin2x)/(2cosx+sin2x)*(1-cosx)/(1-sinx)): x in R. Co...

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  11. If f(x)=e^(sin(x-[x])cospix), where [x] denotes the greatest integer f...

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  12. Find the range of the function f(x)=cot^(-1)(log)(0. 5)(x^4-2x^2+3)

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  13. Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)), where [*] denotes gr...

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  14. The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the g...

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  15. Which one of the following function best represents the graphs as show...

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  16. The solution set for [x]{x}=1 (where {x} and [x] are respectively, fra...

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  17. The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2)...

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  18. If f(x) is a function f:R-> R, we say f(x) has property I. If f(f(x)) ...

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  19. Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all re...

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  20. Let f be a linear function with properties f(1)lef(2),f(3)gef(4)and ...

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