Let f(x)=x+2/x+8 f^-1(-2) this is a inverse and radical function problem please help

Answer 1

f(x) = (x+2)/(x+8)

y = (x+2)/(x+8)

the inverse function switches x and y

replace x with y, and replace y with x

x= (y+2)/(y+8)

replace x with -2,

-2 = (y+2)/(y+8)

solve for y

-2y -16 = y+2

-3y = 18

y = 18/-3 =-6

f^-1(-2) = -6

or

y= (x+2)/(x+8)

xy + 8y = x+2

xy-x = 2-8y

x(y-1) =(2-8y)

x = (2-8y)/(y-1)

switch x and y

y = (2-8x)/(x-1)

f^-1(x) = (2-8x)/(x-1)

f^-1(-2) = (2-8(-2))/(-2-1) = (2+16)/-3 = 18/-3 = -6

Answer 2

Tne most direct way:

-2 = (x + 2) / (x + 8)

Can you solve for x and answer?