inverse functions

Question

what is the inverse equation for

y=1/2x+8

Answer 1

y= (1/2)x + 8

switch x and y and solve for the new y

x =(1/2)y+8

y = 2x -16

f^-1(x) = 2x-16

or if you meant

y=1/(2x) + 8

x= 1/2y + 8

x-8 = 1/2y

2y = 1/(x-8)

y = 1/(2x-16)

f^-1(x) = 1/(2x-16)

or if you meant

y=1/(2x+8)

x= 1/(2y+8)

2y+8 = 1/x

2y = 1/x - 8

y = 1/2x -8x/2x

f^-1(x) = (1-8x)/2x

Answer 2

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