[tex] f(x) = \sqrt[3]{2x+3}[/tex]
[tex] y = \sqrt[3]{2x+3} [/tex]
Depejamos x
Elevando al cubo
[tex] y^{3} = 2x + 3 [/tex]
[tex] x = \frac{y^{3}-3 }{2}[/tex]
Intercambiamos variables
[tex] y = \frac{x^{3} -3 }{2} [/tex]
Tenemos la inversa de f(x)
[tex] f^{-1}(x) = \frac{x^{3 - 3}}{2} [/tex]
