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If f(x)=(4^(x))/(4^(x)+2), then show tha...

If `f(x)=(4^(x))/(4^(x)+2)`, then show that `f(x)+f(1-x)=1`

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If the function f:R rarr R defined by f(x)=(4^(x))/(4^(x)+2) then show that f(1-x)=1-f(x) and hence deduce the value of f( 1/ 4 )+2f( 1 /2 )+f( 3/4 ) .

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MOTION-FUNCTION-Exercise - 3
  1. Mark the graph of the function f (x) = 3e^(x + 5) - 7

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  2. Mark the graph of the function f(x) = |sin x| + |cos x|

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  3. If f(x)=(4^(x))/(4^(x)+2), then show that f(x)+f(1-x)=1

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  4. Solve the equation 2x+3[x]-4{-x}=4

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  5. The set of real values of ‘x’ satisfying the equality [(3)/(x)] + [(4)...

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  6. Find whether the following function are one-one or many -one & into or...

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  7. Find whether the following function are one-one or many -one & into or...

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  8. Find whether the function are one–one or many–one f(x) = sin 4x , x...

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  9. Find whether the following function are one-one or many -one & into or...

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  10. Find whether the following functions are one-one or many-one f(x)=sqrt...

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

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

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

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

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

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

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

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

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

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

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