College Algebra

Question

If f is one-to-one and f(6) =10, then f^-1(10)= ____ and (f(6))^-1=___

Answer 1

f is one to one

f(6)= 10

f^-1(10) = 6

f^-1(6) = 10

inverse functions bring you back to where you started, like a circle.

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

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

if it were not a 1 to 1 function, though, it may not be true, as you'd have multiple possibilities