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ANSWER

f(x)

Domain:(-∞,∞)

Range:(-∞,∞)

[tex] {f}^{ - 1} (x)[/tex]

Domain:(-∞,∞)

Range:(-∞,∞)

The given function is

[tex]f(x) = \frac{3x - 1}{2} [/tex]

This is a polynomial function.

All polynomial functions are defined everywhere.

The domain is all real numbers.

Or

(-∞,∞).

The range is also all real numbers.

(-∞,∞).

The domain of the inverse function equals the range of the function.

(-∞,∞).

The range of the inverse function equals the domain of the function.

(-∞,∞).