For the Given Function $f(x)$ , Find $f^{-1}(x)$ State the Domain Of

Multiple Choice

For the given function $f(x)$ , find $f^{-1}(x)$ . State the domain of $f^{-1}(x)$ .
- $f(x) =(x-19) ^{2}+4(x \geq 19)$

A) $f^{1}(x) =\sqrt{x-4}+19, x \geq 4$
B) $\mathrm{f}^{-1}(\mathrm{x}) =4 \mathrm{x}^{2}+19, \mathrm{x} \geq 0$
C) $\mathrm{f}^{-1}(\mathrm{x}) =\sqrt{\mathrm{x}+4}-19, \mathrm{x} \geq-4$
D) $f^{-1}(x) =\sqrt{x+19}-4, x \geq-19$