a. The graph of \( g \) is a transformation of the graph of \( f(x) = \sqrt{x} \). It appears to be a vertical stretch of \( f(x) \) by a factor of 2, followed by a reflection across the x-axis, and finally a horizontal shift to the right by 1 unit.
b. The equation for \( g \) can be written as \( g(x) = -2\sqrt{x-1} \).
c. The domain of \( g \) is all real numbers greater than or equal to 1, since the square root function is defined for non-negative values. The range of \( g \) is all real numbers less than or equal to 0, since the negative sign in the equation reflects the graph below the x-axis.