Question

funçao inversa f(x)= x/x+2

Answer 1

f(x) = x/(x + 2) 

(x + 2)f(x) = x 
xf(x) + 2f(x) = x 
xf(x) - x = -2f(x) 
x(f(x) - 1) = -2f(x) 
x = -2f(x)/(f(x) - 1) 

Seja f(x) = y e x = f(y): 

f(y) = -2y/(y - 1)

Answer 2

Oi Luiza

y = x/(x + 2)

yx + 2y = x

yx - x = -2y

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

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