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If f(x) is an even function and g is an...

If `f(x)` is an even function and g is an odd function, then `f(g(x))` is……………….function

A

even

B

odd

C

neither even nor odd

D

periodic function

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The correct Answer is:
B
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AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. f(x) is an odd polynomial function. Then cos [f(x)] is

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

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

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

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

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

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

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

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  9. If f(x) = (3x+2)/(5x-3), then

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  10. The domain of (10^(x) +10^(-x))/(10^(x)-10^(-x)) is:

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  11. The domain of sec 5x is:

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  12. Domain of root(3)(x). cot x is

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  13. The domain of (x+1)/sqrt(x^(2)-5x+6) is:

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  14. The domain of the function: f(x) = log(3)(18x-x^(2)-77) is:

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  15. The domain of log(x)5 is:

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  16. If f(x) =|x/2| is a real function, then f: R to B is a surjection then...

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  17. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

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  18. Domain , Range of f(x) =|x| + |x+1| are respectively:

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  19. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

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  20. A = {1, 2, 5, 6, 11}, B = {2, -1, 1, 0, 11, 108} and f(x) x^(2)-x-2, t...

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