If f − 1 ( − 4 ) = − 5 , find f ( − 5 )

Answer 1

-4

first blind reflexive guess

f^-1(-4) =-5, f(-5)=-4

they're inverses, "reverse" functions

the inverse function "reverses" the process

if f(x)=y, then f^-1(y)=x

f(f^-1)(x)=x

f^-1(f(x) =x

where you start, do the function, then the inverse function brings you back to the same

start with x, f(x) then f^-1(f(x))= x

It's sort of like multiplication is the reverse or inverse of division

or subtraction and addition. x+5, then subtract 5, you come back to where you started: x