find domain & range of function 1/✓25-x²
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Answer:
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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