Algebra questions need help

  1. Let f(x) = √(x – 4) + 3. 

    a) Find the inverse of f. 

    b) Find the range of f -1.

  1. Let h(x) = (x – 1) / (-x + 3). 

    a) Find the inverse of h. 

    b) Find the range of h.

  1. Let f(x) = (x – 1)/(x + 5) and g(x) = 1/(x + 3). 

    a) Find the composite function (f o g)(x). 

    b) Find the domain of f o g.

  1. Function f is a function with inverse f -1. Function h is defined by h(x) = f(x) + k where k is a constant. Express the inverse function of h in terms of f -1 and k.
  1. Function f is a function with inverse f -1. Function h is defined by h(x) = A*f(x – h) + k where A, k and h are constants. Express the inverse function of h in terms of f -1, A, k and h.