Answer
f(x)
domain: all real numbers, range: all real numbers
f⁻¹(x)
domain: all real numbers, range: all real numbers
Step-by-step explanation
Given the function:
[tex]f(x)=-x+5[/tex]
This is the equation of a line.
The domain and range of a linear function are all real numbers.
On the other hand, the range of an inverse function is the domain of the original function and the domain of an inverse function is the range of the original function. Then, the domain and range of the inverse of f(x) are all real numbers.
