Hi there! The answer is y = 1/6x + 1/2
To find the inverse function x and y need to switch places.
[tex]y = 6x - 3 \\ x = 6y - 3[/tex]
Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
[tex]x = 6y - 3[/tex]
Add 3.
[tex]x + 3 = 6y[/tex]
Switch sides.
[tex]6y = x + 3[/tex]
Divide both sides by 6.
[tex]y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2} [/tex]
Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
