Respuesta :

JoshEast
f(x) = 5 ( x + 4) - 6
y = 5 (x + 4)

interchange x and y and then solve for y
x = 5 (y + 4)

[tex] \frac{x}{5} = y + 4 [/tex]

[tex] y = \frac{x}{5} - 4[/tex]

∴  [tex]f ^{-1} (x) = \frac{x}{5} - 4 [/tex]


Solve for x= 19 for the inverse found

[tex]f ^{-1} (19) = \frac{19}{5} - 4 [/tex]

[tex]f ^{-1} (19) = - \frac{1}{5}[/tex]

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