Question

Please help WILL MARK BRAINLIEST HURRY LOOK AT PHOTO

Answer 1

Answer:

I believe it is D I'm a senior in pre-cal but I also dont have paper so I did it in my head rq

Answer 2

Answer:

Option B

$\red{ \boxed{ \bold{ {f}^{ - 1} (x) = \sqrt[3]{ - x - 9} }}}$

Step-by-step explanation:

$f(x) = - {x}^{3} - 9 \\ plug \: f(x) = y \\ \implies \: y = - {x}^{3} - 9 \\ interchange \: x \: and \: y \\ \\ x = - {y}^{3} - 9 \\ \\ x + 9 = - {y}^{3} \\ \\ - x - 9 = {y}^{3} \\ \\ \sqrt[3]{ - x - 9} = y \\ \\ \sqrt[3]{ - x - 9} = {f}^{ - 1} (x) \\ \\ \red{ \boxed{ \bold{ {f}^{ - 1} (x) = \sqrt[3]{ - x - 9} }}}$