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The domain and range of the real functio...

The domain and range of the real function f defined by `f(x)=(4-x)/(x-4)` is

A

Domain = R , Range = {-1,1}

B

Domain = R - {1}, Range = R

C

Domain = R - {4} , Range = {-1}

D

Domain = R - {-1}, Range = {-1,1)

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
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  3. The domain and range of the real function f defined by f(x)=(4-x)/(x-4...

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  4. Let N be the set of natural numbers and the relation R be defined on ...

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  6. The domain of the function f given by f(x) = (x^(2)+ 2x+ 1)/(x^(2) - 5...

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  7. Find the domain of f(x)=sqrt((log)(0. 4)((x-1)/(x+5)))

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  8. If f(x)=(x)/(x-1), then what is (f(a))/(f(a+1)) equal to?

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  9. If phi(x)=a^x, then [phi(p)]^3 is equal to:

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  10. The function f(x)=log(x+sqrt(x^(1)+1)) is

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  11. The domain of the function f(x) = (|x+3|)/(x + 3) is

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  12. If 3 f(x) - f((1)/(x) ) = log x^(4) , then f(e^(-x)) is

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  13. If f(x) = x^(3) - (1)/(x^(3)) then f (x) + f((1)/(x)) is equal to

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  15. If f(y) = 2y^(2) + by + c and f(0) = 3 and f(2) = 1, then the value of...

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  16. The domain of definition of the function y=(1)/(log(10)(1-x))+sqrt(x...

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  17. Let f = {(1, 1),(2,3),(0,-1), (-1,-3)} be a linear function from Z int...

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  18. If f(x) = (1)/(sqrt( (x+1) (e^(x) - 1)(x-4)(x +5)(x -6))), then the do...

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