find the inverse function of f(x)=-14+x/6

To find the inverse function, we need to swap the roles of x and y and solve for y.

So, let y = -14 + x/6

Swap x and y:
x = -14 + y/6

Now, solve for y:
x + 14 = y/6
6(x + 14) = y
y = 6x + 84

Therefore, the inverse function of f(x) = -14 + x/6 is f^(-1)(x) = 6x + 84.