Question

What is domain of the function?

y= root of 3x+3

Answer 1

what are the signs for the equation

Answer 2

thanks for the answer, cheers

Answer 3

The domain of the function is the set of all real numbers that make the function well-defined or workable. In this case, the function is a square root, so the domain of the function is all real numbers that make the expression inside the square root non-negative.

The expression inside the square root is 3x+3. To find the domain, we need to solve the inequality:

3x + 3 ≥ 0

Subtracting 3 from both sides gives:

3x ≥ -3

Dividing by 3 gives:

x ≥ -1

Therefore, the domain of the function y = √(3x + 3) is all real numbers greater than or equal to -1.

Answer 4

For the equation y = √(3x + 3), the sign of the square root function (√) is always non-negative in its domain (the values of x for which the function is defined).

Since we found that the domain of the function is all real numbers greater than or equal to -1, the square root function will always output non-negative values in that domain. This means that the result of the function will always be positive or zero in the given domain.

Therefore, the sign of the function y = √(3x + 3) is non-negative in the domain x ≥ -1.

Answer 5

You're welcome! If you have any more questions in the future, feel free to ask. Cheers!