Respuesta :
Answer:
2(x-3) = y
Step-by-step explanation:
y = 1/2 x +3
To find the inverse, exchange x and y and then solve for y
Exchange x and y
x = 1/2y +3
Then solve for 3
Subtract 3 from each side
x-3 = 1/2 y -3+3
x-3 = 1/2 y
Multiply each side by 2
2 (x-3) = 1/2 *2 y
2(x-3) = y
This is the inverse
Interchange the variables:
x = 1/2y + 3
Solve for y:
Subtract 3 from each side:
x-3 = 1/2y
Multiply both sides by 2:
2x-6 = y
Rewrite the equation with y on the left side:
y = 2x-6
Replace y with f^-1(x):
f^-1(x) = 2x-6