Respuesta :

Answer:

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

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x-1[/tex]

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

[tex]f(x)=6x-1[/tex]

Switch:

[tex]x=6f^{-1}(x)-1[/tex]

Add 1 to both sides:

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

Divide both sides by 6:

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

And that's our answer :)

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