solve this !!!!!!

Question

Let f be the one-to-one function given below. f(x)=x−6/3x−1

(a) Find the inverse function of f(f^−1 (x).)

f^−1(x)=   

(b) Compute f^−1(−5)

f^−1(−5)=   

Answer 1

To find the inverse of a function, you replace the x with the y

Answer 2

y = (x - 6)/(3x - 1); x = (y - 6)/(3y - 1); 3yx - x = y - 6; y = (x - 6)/(3x - 1);

so, f^-1(x) = (x - 6)/(3x - 1);

f^-1(- 5) = -11/(-16) = 11/16