Respuesta :

konrad509

[tex]f(x)=5x-6\\\\y=5x-6\\5x=y+6\\x=\dfrac{y+6}{5}\\\\f^{-1}(x)=\dfrac{x+6}{5}[/tex]

The inverse is a function. In general, the inverse of non-constant linear function, is a function.

sandlerian

Answer:

[tex]\frac{x + 5}{6}[/tex] or [tex]\frac{x}{5} + \frac{6}{5}[/tex]

Step-by-step explanation:

Function Inverse Definition : A function g is the inverse of function f if for y = f(x), x = g(y)

y = 5x - 6

Replace x with y.

x = 5y - 6

Solve for y, x = 5y - 6

= [tex]\frac{x + 5}{6}[/tex] or [tex]\frac{x}{5} + \frac{6}{5}[/tex]

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