Respuesta :

[tex]f(2) = \frac{1}{2} \times 2 = 1\\f^{-1}(1) = 2 \times 1 = 2\\f^{-1}(f(2)) = f^{-1}(1) = 2[/tex]

Note: [tex]f^{-1}(f(x)) = x[/tex] because f -1 and f cancel each other out.

Answer:

f(2) =  

⇒ 1

f−1(1) =  

⇒ 2

f−1(f(2)) =  

⇒ 2

f−1(−2) =  

⇒ -4

f(−4) =  

⇒ -2

f(f−1(−2)) =  

⇒ -2

Step-by-step explanation: