Identify the intervals where the function $h(x) = |x + 4|$ is one-to-one and thus has an inverse.

$\(\left\[\lbrack\)4,\(\infty\]\right\))$

$\(\left\)(-\(\infty\),-4\(\right\]\rbrack\[\text{and}\]\left\[\lbrack\)4,\(\infty\]\right\))$

$\(\left\)(-\(\infty\),-4\(\right\]\rbrack\[\text{and}\]\left\[\lbrack\)-4,\(\infty\]\right\))$

$\(\left\)(-\(\infty\),4\(\right\]\rbrack\[\text{and}\]\left\[\lbrack\)4,\(\infty\]\right\))$