What is the inverse of the function g(x)=5(x-2)g(x)=5(x−2)g, left parenthesis, x, right parenthesis, equals, 5, left parenthesis, x, minus, 2, right parenthesis

(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

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