Question

What is the inverse of the function g() = 2/5 x + 3?​

Answer 1

Answer:

5/2(x-3)​

Step-by-step explanation:

g(x) = 2/5 x + 3

y = 2/5x +3

Exchange x and y

x = 2/5y +3

Solve for y

Subtract 3 from each side

x-3 = 2/5y +3-3

x -3 = 2/5y

Multiply each side by 5/2

5/2(x-3) = 5/2(2/5)y

5/2(x-3) = y

The inverse is 5/2(x-3)​