Question

find the domin and range the function f(x)=1÷root 25-x square​

Answer 1

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Answer 2

Given; f(x)=1/√25-x ²

To Find; Domain and range

Solution; f(x)=1/√25-x²

The expression under root must be positive

25-x²≥0

25≥x²

-5≤x≤5

Hence domain is (-∞,-5) (5,∞)

Range

y= 1/√25-x²

25-x²=1/y²

√25-1/y²=x