Question

What are the domain and range of g(x)=-3√/x-1?

OD: (1,) and R: (0,00)
OD: [-3,0) and R: [0, ∞)
OD: (-3,) and R: (-0,0)
OD: [1,) and R: (-00, 0]

Answer 1

The function g(x) = -3√(x-1) represents a square root function with a horizontal shift to the right and a vertical reflection and stretch.

Step-by-step explanation:

The function g(x) = -3√(x-1) represents a square root function with a horizontal shift of 1 unit to the right and a vertical reflection and stretch of 3.

The domain of the function is all real numbers greater than 1, as the square root function is defined for non-negative values.

The range of the function is all real numbers less than or equal to 0, as the negative sign in front of the square root function reflects the graph below the x-axis and the stretch of 3 compresses the graph vertically.