Question

Which of the following is the inverse of F(x) = -2x + 3?

Answer 1

Answer:

$y = \frac{-1}{2}(x-3)$

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':

$y= \frac{x-3}{-2}$

Simplify:

$y = \frac{-1}{2}(x-3)$