Answer:
g^-1(x) = (x - 5)/-6
Step-by-step explanation:
g^-1(x) refers to an inverse function. To find any inverse function, we must replace g(x) with x and x with g(x). We can then solve for the new g(x) and that would be the composite function.
g(x) = -6x + 5 ------> Swap x and g(x)
x = -6g(x) + 5 -----> Subtract 5 from both sides
x - 5 = -6g(x) ------> Divide by -6
(x - 5)/-6 = g(x)