Question

f(x) = -2x + 4
What is the inverse function?

Answer 1

Answer: The inverse function of f (x) = -2x + 4, is F (x) = (4 - x) / 2

Step by step explanation:

f (x) = y = -2x + 4 ............. (*)

To obtain the inverse function, change the "y" to "x" and the "x" to "y". Then the "y" is cleared. Then, in (*), it remains:

x = -2y + 4

-2y + 4 = x

-2y = x - 4

  y = (x - 4) / - 2

  y = (4 - x) / 2

The inverse function of f (x) = -2x + 4, is F (x) = (4 - x) / 2