Question
i understand the concept of domain and range
domain--set of all possible inputs for the function
range-set of all possible outputs
but I don't know how to find
example:
state the domain and range of
f(x)=10-√(3-x)
thank you
domain--set of all possible inputs for the function
range-set of all possible outputs
but I don't know how to find
example:
state the domain and range of
f(x)=10-√(3-x)
thank you
Answers
The domain of √x is x≥0
so, the domain of ≥(3-x) is
3-x ≥ 0
x ≤ 3
since y is decreasing, and y(3) = 10, the range is y≤ 10
so, the domain of ≥(3-x) is
3-x ≥ 0
x ≤ 3
since y is decreasing, and y(3) = 10, the range is y≤ 10
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