Answer:
(x+10)/5
Step-by-step explanation:
Given the function
g(x) = 5(x-2)
Open the parenthesis
g(x) = 5x-10
To find the inverse we need to follow the steps;
Step 1; make y as g(x)
y = 5x-10
Step 2; replace y with x;
x = 5y - 10
Step 3; make y the subject of the formula;
x = 5y-10
5y = x+10
y = (x+10)/5
Step 4: substitute y as g^(-1)(x)
g^(-1)(x) = (x+10)/5
Hence the inverse of the function is (x+10)/5
