Question

Find the intervals on which the function g(x) = square root of (x - 4) is continuous.

a) x > 4
b) x >= 4
c) x < 4
d) x <= 4

Answer 1

The function g(x) = square root of (x - 4) is continuous for x >= 4.

Step-by-step explanation:

To determine the intervals on which the function g(x) = square root of (x - 4) is continuous, we need to consider the domain of the function. In this case, the function is defined when the expression inside the square root is non-negative. To find the intervals, we need to solve the inequality x - 4 >= 0.

Solving this inequality, we get x >= 4. Therefore, the function g(x) is continuous for x >= 4.