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

Question

asked Jul 11, 2021 225k views

2 Answers

Kunal Tanwar · Answer 1 · 2021-07-17T11:38:05+0000

Answer:

y = (-1)/(2)(x-3)

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= (x-3)/(-2)

Simplify:

y = (-1)/(2)(x-3)