Questions: Determine the implied domain of the following function. Express your answer in interval notation. f(x) = √(x+1) + 6

Solution Steps

The given function is \( f(x) = \sqrt{x + 1} + 6 \). The function involves a square root, which requires the expression inside the square root to be non-negative.

To ensure the expression inside the square root is non-negative, we set up the inequality: \[ x + 1 \geq 0 \]

Solve the inequality for \( x \): \[ x + 1 \geq 0 \] \[ x \geq -1 \]

Final Answer