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Let f: D -> R, where D is its domain. Fi...

Let `f: D -> R`, where `D` is its domain. Find whether the following functions are into/onto. (i) `f(x) = (1 + x^6)/x^3` (ii) `f (x) = x cos x` (iii) `f(x) = 1/sin(sqrt|x|)` (iv) `f(x) = tan (2 sin x)`

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MOTION-FUNCTION-Exercise - 3
  1. Find whether the following functions are one-one or many-one f(x)=sqrt...

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  2. Find whether the function are one–one or many–one f(x) = (3x^(2))/...

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  3. Let f: D -> R, where D is its domain. Find whether the following funct...

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  4. Let f: D -> R, where D is its domain. Find whether the following funct...

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  5. Let f: D -> R, where D is its domain. Find whether the following funct...

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  6. Let f: D -> R, where D is its domain. Find whether the following funct...

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  7. Classify the following function f(x) defined in RtoR as injective, sur...

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  8. Classify the following functions f(x) defined in R to R as injective ,...

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  9. Classify the following function f(x) defined in RtoR as injective, sur...

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  10. Q.16 Classify the following functions f(x) defined in RrarrR as inject...

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  11. If f(x) = (x)/(sqrt(1+ x^(2))) , then (fof) (x) =

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  12. Find whether the following functions are even or odd or none f(x) = l...

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  13. Determine whether the following functions are even or odd or neither e...

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  14. Examine whether the function are even or odd or none. f(x) = (x)/(...

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  15. Examine whether the function are even or odd or none. f(x) = ((1 + ...

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  16. Examine whether the function are even or odd or none. f(x) = (sec x...

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  17. The function f(x) = sqrt(1+x+x^2) - sqrt(1- x + x^2) is

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  18. Find out whether the given function is even, odd or neither even nor o...

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  19. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

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  20. If f(x) = [{:( x^(2) + sin x , 0 le x lt 1) , (x + e^(-x) , x ge 1):} ...

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