Question 470114
*[Tex \LARGE f(-8)=-7] ... Start with the given equation



*[Tex \LARGE f^{-1}\left(f(-8)\right)=f^{-1}\left(-7\right)] ... Apply *[Tex \LARGE f^{-1}] to both sides.



*[Tex \LARGE -8=f^{-1}\left(-7\right)] ... Since f is one-to-one, *[Tex \LARGE f^{-1}\left(f(-8)\right)=-8] (ie f and f inverse cancel each other out)



So *[Tex \LARGE f^{-1}\left(-7\right)=-8]