# Algebra questions need help

**Question description**

- Let f(x) = √(x - 4) + 3.

a) Find the inverse of f.

b) Find the range of f^{ -1}.

- Let h(x) = (x - 1) / (-x + 3).

a) Find the inverse of h.

b) Find the range of h.

- 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.

- 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.

- 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.

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