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Let f: N to Y be a function defined as f...

Let `f: N to Y` be a function defined as `f(x) = 4x+3` where `Y={y in N: y=4x+3` for some `x in N`}. Then inverse of f is:

A

`g(y) = (y-3)/4`

B

`g(y) = (3y+4)/3`

C

`g(y) = 4+(y+3)/4`

D

`g(y) = (y+3)/4`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-FUNCTIONS -EXERCISE -I
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  2. If f:R^(+)rarrR such that f(x)=log(3)x then f^(-1)(x)=

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

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

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

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

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  8. The domain of sec 5x is:

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

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

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

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

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

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  17. 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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  19. f: N to A where N is the set of natural numbers and A is the set of e...

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