find the domain and range of the function f(x) = 1/√25-x²
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Step-by-step explanation:
The world's smallest heart belongs to the fairyfly. This tiny animal is just 0.2 mm long, and a microscope is needed to see its heart. Hearts are normally about 0.6% of an animal's body mass. Dogs and wolves have relatively large hearts in comparison with their weight, at 0.8%.2
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f(x)=
25−x
2
For the function to be defined, the expression inside the root must be greater than to equal to 0.
25−x
2
≥0
x
2
≤25
∣x∣≤5
−5≤x≤5
The domain of
f(x)=[−5,5]
When x=±5,f(x)=0
When x=0,f(x)=5, this is maximum value.
The range is R=[0,5]
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