Question

When comparing the functions using the equation, which conclusion can be made?

Answer 1

domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4

Explanation:

The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...

• the domain of f(x) is restricted to non-positive values
• the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4

The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.