Find the inverse of the one-to-one function.

Question

f(x)= 5/(3x-4)

Answer 1

y = 5/(3x-4)
3x-4 = 5/y
3x = 5/y + 4
x = 5/3y + 4/3 = (5+4y)/3y

so, f^-1 (x) = (5+4x)/3x