Answer:
[tex]y = \frac{-1}{2}(x-3)[/tex]
Step-by-step explanation:
To determine the inverse of an equation, simply switch the places of the 'x' and 'y' variables. Therefore:
f(x) = -2x + 3
Use 'y' in place of f(x).
y = -2x + 3
Switch the 'x' and the 'y':
x = -2y + 3
Subtract '3' from both sides:
x - 3 = -2y
Divide both sides by '-2':
[tex]y= \frac{x-3}{-2}[/tex]
Simplify:
[tex]y = \frac{-1}{2}(x-3)[/tex]
