Question

How do you find the inverse of
f(x)= 12x-3 over 4x-8

Answer 1

y = (12x-3)/(4x-8)

(4x-8)y = 12x - 3

4xy - 8y = 12x - 3

4xy - 12x = 8y - 3

4x(y-3) = 8y - 3

4x = (8y - 3)/(y-3)

x = (1/4)[ (8y-3)/(y-3) ]

Now switch x and y to find the inverse...

f inverse = (1/4)[ (8x-3)/(x-3) ]

Answer 2

thanks