Respuesta :

Answer:

f^-1(x) = (x+10) / 2

Step-by-step explanation:

sooo

f(x) = 2x - 10

y = 2x - 10

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

f^-1(x) = (x+10) / 2

Answer:

[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]

As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].