HSF.BF.B.4.d Tutor Intake — Domain Restriction and Invertible Functions

The function $f(x) = x^2$ does NOT have an inverse on its full domain.
Which statement BEST explains why?

If the domain of $f(x) = x^2$ is restricted to $x \geq 0$, what is
true about the algebraic rule $x^2$?

The horizontal line test says: if a horizontal line crosses a
function's graph at $n$ or more points, the function is NOT
one-to-one.

What is the value of $n$? Enter a whole number.

Which restricted domain makes $f(x) = x^2$ a one-to-one function
that passes the horizontal line test?

The function $g(x) = (x - 3)^2$ has a vertex at $x = 3$.
Which domain restriction makes $g$ one-to-one?

The function $f(x) = x^2 + 1$ is restricted to $x \geq 0$.

Using the swap-and-solve method, the inverse is
$f^{-1}(x) = \sqrt{x - 1}$.

What is the domain of $f^{-1}$? Enter the left endpoint of the domain
interval (the smallest value of $x$ for which $f^{-1}$ is defined).

The function $f(x) = x^2 + 1$ is restricted to $x \geq 0$.

After applying the swap-and-solve method, which expression is the
correct inverse $f^{-1}(x)$?