Respuesta :

f(x) = 6-5x

y = 6-5x .... replace f(x) with y

x = 6-5y .... swap x and y; solve for y

x+5y = 6

5y = 6-x

y = (6-x)/5

[tex]f^{-1}(x) = \frac{6-x}{5}[/tex] ... replace y with the inverse function notation

Answer: Choice D.