Question

What is the domain and range for the following function and it’s inverse ? Help needed !!!

Answer 1

ANSWER

f(x)

Domain:(-∞,∞)

Range:(-∞,∞)

${f}^{ - 1} (x)$

Domain:(-∞,∞)

Range:(-∞,∞)

The given function is

$f(x) = \frac{3x - 1}{2}$

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.

(-∞,∞).