Answer:
[tex]f^{-1} (x)=-\frac{1}{6}x+1[/tex]
Step-by-step explanation:
To find the inverse of a function in equation form, first I recommend changing the f(x) to a y:
y = -6x + 6
Next step is to switch the x and y:
x = -6y + 6
Now solve for the new y:
x - 6 = -6y and
[tex]-\frac{1}{6}x + 1=y[/tex]
You can put the inverse notation back in for y like I did in the answer section above.
