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If f(x) = {{:(3^(-x)+1, for, -1 le x lt ...

If `f(x) = {{:(3^(-x)+1, for, -1 le x lt 0),(tan(x//2), for, 0 le x le pi),(x/(x^(2)-2) ,for, pi le x le 6):}`, then `sqrt(f(0) + f(pi//6) + 1/5f(5) -1/23)=`……………..

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AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. If f(x)=alphax+beta and f={(1, 1), (2, 3), (3, 5), (4, 7)} then the va...

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  2. If f(x) = {{:(3^(-x)+1, for, -1 le x lt 0),(tan(x//2), for, 0 le x le ...

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  3. If f(x)=2x-1, " if " x gt1, =x^(2)+1," if " -1 le xle1," then "(f(1)...

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  4. If f and g are real functions defined by f(x) =2x-1 and g(x) =x^(2), t...

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  5. f: N to R such that f(x) = (2x-1)/2 and g: Q to R such that g(x) =x+2,...

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  6. If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then...

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  7. If g(x) =root(3)(x^(2)+11), f(x) = sqrt(x^(3)-2), then fog(-4)-

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  8. If y=f(x) = (5x+3)/(4x-5), then f(y)=

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  9. If f:[-6, 6]rarr RR defined by f(x)=x^(2)-3" for " x in R then (fofof...

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  10. If f(x) =|x|, x in R, then

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  11. Which of the following is an odd function

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  12. log(x-3) is:

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  13. f(x) is an odd polynomial function. Then cos [f(x)] is

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  14. f(x) is an odd polynomial function. Then cos [f(x)] is

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  15. If f(x) is an even function and g is an odd function, then f(g(x)) i...

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  16. If f: R to R defined byf(x) = x^(2)+1 , then the set of all pre-image...

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  17. If f:R^(+)rarrR such that f(x)=log(3)x then f^(-1)(x)=

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  18. Let f: N to Y be a function defined as f(x) = 4x+3 where Y={y in N: y=...

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  19. If f: R to R, g : R to R functions defined by f(x) = 3x-2, g(x) =x^(2)...

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  20. If the functions of f and g are defined by f(x) = 3x-4, g(x) = 2+3x fo...

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