The following function is onetoone Write an equation for the

The following function is one-to-one. Write an equation for the inverse function, f^-1(x)

f(x) = (6)/(7x+2)

Solution

f(x) = 6/(7x+2)

y = 6/(7x +2)

To get inverse replace x=y and y=x

x = 6/(7y +2)

x(7y+2) =6

7xy +2x =6

7xy = 6-2x

Divide both sides by x

7y = (6-2x)/x

y = (6-2x)/7x

f^-1(x) = (6-2x)/7x