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Domain of a Function
I say that f is a real function.This means that for real input, the output should be real. For example
if F is real, then x can only take non-negative values because only then the output will be real. Set of all real values of R is called domain
“Domain is the set of all possible inputs for which the output is real ”
In some cases, x is defined explicitly. for example,
=x²; 1<x>2 here domain is defined explicitly as (1,2)
If no domain is mentioned explicitly, the domain will be assumed to be such that “F” produces real output
These are a few examples
Domain D= 2∠x≤3 or x∈(2,3)
3) y=1∕x then domain will be any real number excluding zero
4) y=logx then the domain will be any positive integer because logs are only defined for positive real numbers
D=x≥1Range of a function- It is simply the set of possible outputs for a defined domain.
Range depends upon domainExamples:
3) y=√x 2∠x≤3
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