For the given function, find the inverse.

$f(x) = -5x + 3$

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

Provide all the inverses of the function $g(x)=x^2+4x+7$ , and identify their domains.

Write ${101}^x$ in terms of the natural exponential function.