Respuesta :

caylus
Hello,

[tex]f(2)=\pi + 7\\\\ 2=f^{-1}\ o\ f(2)=f^{-1} (f(2))=f^{-1}( \pi + 7 })[/tex]

Answer: The required value of [tex]f^{'-1}(\pi+7)[/tex] is 2.

Step-by-step explanation:  We are given the following value of a function f :

[tex]f(2)=\pi+7.[/tex]

We are to find the value of [tex]f^{-1}(\pi+7).[/tex]

We know that

For any function g(x) = y,

[tex]g^{-1}(y)=x.[/tex]

Applying the above rule in equation (i), we get

[tex]f(2)=\pi+7\\\\\Rightarrow f^{-1}(\pi+7)=2.[/tex]

Thus, the required value of [tex]f^{'-1}(\pi+7)[/tex] is 2.