Based on the fact that the function is f(x)=x²-16 and the domain is f(x)>0?, the inverse of the function is f⁻¹(x) = √( x + 16).
What is the inverse of the function?
The inverse of the function will be such that the operations in the function will be the opposite in the inverse function.
This means that f(x) will be taken to the power negative one (-1) to show that the function has been inverted to become 1/f(x).
The fact that x was being squared will then become a square root and the addition sign between x and 16 will become a square root.
This gives:
f⁻¹(x) = √( x + 16)
Full question is:
Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?
Find out more on the inverse of functions at https://brainly.com/question/3831584
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