Question

help please

find f(f^-1(-8)), where f(x)=x^3 - 6

Answer 1

Find the inverse of f(x), first.

Answer 2

y = x^3 - 6
x = y^3 - 6
solve for y.

Answer 3

actually, from the definition of the inverse of a function
\[\large f(f^{-1}(-8))=(f\circ f^{-1})(-8)=-8 \]

Answer 4

Why find the inverse? The inverse is also a 1-to-1 function with no confusion for Domain or Range.

\(f(f^{-1}(-8)) = -8\)

Answer 5

so f(f^-1(-8))= what

Answer 6

We DO have to be careful first to notice that the inverse is ALSO a function WITHOUT any restriction on Domain or Range.

Answer 7

oh mb.

Answer 8

okay got it thanks