Find the domain of the given function
1/logx
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Answered by
18
Kindly check the linked image.
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kvnmurty:
is it correct?
Yes
Can you please tell,why do you think its incorrect
Obviously
Why
What is the meaning of the set R ?
Answered by
15
We have to find the domain of the function :
f (x) = 1/ (Log x )
For f(x) to be defined, Log x is to be defined. and also, Log x should not be equal to 0.
Log x is defined for x > 0 ie., only for positive real numbers. Or, its domain is R⁺ ie., set of all positive real numbers. This is true for any base of the logarithm.
Log x = 0 for x = 1, whatever the base of the logarithm be.
So the domain of f(x)= 1/Logx is: R⁺ - {1}.
Domain = {x : x≠1, x>0 }
We can say the set of all positive real numbers except 1.
f (x) = 1/ (Log x )
For f(x) to be defined, Log x is to be defined. and also, Log x should not be equal to 0.
Log x is defined for x > 0 ie., only for positive real numbers. Or, its domain is R⁺ ie., set of all positive real numbers. This is true for any base of the logarithm.
Log x = 0 for x = 1, whatever the base of the logarithm be.
So the domain of f(x)= 1/Logx is: R⁺ - {1}.
Domain = {x : x≠1, x>0 }
We can say the set of all positive real numbers except 1.
:-)
Nice answer sir...
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