The following function is onetoone Find the inverse of the f

The following function is one-to-one. Find the inverse of the function and express it using f^-1 (x) notation. f (x) = 3/x - 8 f^-1 (x) =

Solution

f(x) = 3/(x -8)

f^-1(x):

write : y = f(x) = 3/(x-8)

Let y = x and x = y

So, x = 3/(y -8)

x(y -8) = 3

xy - 8x = 3

xy = (3+8x)

y = (3+8x)/x

f^-1(x) = (3 +8x)/x