a 3 b 4 c 6 d 2 Find the following when F1F4SolutionFx 2x 2
| a. | 3 | b. | 4 |
|---|---|---|---|
| c. | 6 | d. | 2 |
Solution
F(x) = 2x -2
find inverse : plug y = f(x) ;
y = 2x -2
plug x= y and x= y and solve for y
x = 2y -2 ; y = (x+2)/2
f^-1(x) = (x+2)/2
f^-1(f(4)) ; f(4) = 2*4 -2 = 6
f^-1(6) = (6+2)/2 = 4
![a. 3 b. 4 c. 6 d. 2 Find the following when F^-1[F(4)]SolutionF(x) = 2x -2 find inverse : plug y = f(x) ; y = 2x -2 plug x= y and x= y and solve for y x = 2y - a. 3 b. 4 c. 6 d. 2 Find the following when F^-1[F(4)]SolutionF(x) = 2x -2 find inverse : plug y = f(x) ; y = 2x -2 plug x= y and x= y and solve for y x = 2y -](/WebImages/45/a-3-b-4-c-6-d-2-find-the-following-when-f1f4solutionfx-2x-2-1140084-1761611260-0.webp)