a 3 b 4 c 6 d 2 Find the following when F1F4SolutionFx 2x 2

a. 3 b. 4
c. 6 d. 2
Find the following when F^-1[F(4)]

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 -

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