Question

F ( x ) = ( x - 2 ) ^3

x = ( y - 2 ) ^ 3
y = + 2
f ( x ) = ( x - 2)^3 is f^-1 ( x ) = + 2
i have this what do i do for this
Find f ( f^-1( x ) )

Answer 1

x

Explanation:

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

Always!

f(x) = (x - 2)³

y^⅓ = x - 2

x = y^⅓ + 2

f^-1(x) = x^⅓ + 2

f(f^-1(x)) = f(x^⅓ + 2)

= (x^⅓ + 2 - 2)³

= (x^⅓)³

= x