Question

Determine a função inversa de f(x) = x - 1/x
a)1/1-x
b)1/1+x
c)1-x/1+x
d)1+x/1-x

Answer 1

Olá Marcos

y = (x - 1)/x 

xy = x - 1

x - xy = 1

x*(1 - y) = 1

x = 1/(1 - y)

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

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