Question

Find the domain of the function. $$f(t)=\sqrt{t+1}$$

   Find the domain of the function.
$$f(t)=\sqrt{t+1}$$

College Algebra

College Algebra

James Stewart,… 7th Edition

Chapter 2, Problem 59

Instant Answer

Solved by Expert James Kiss

06/01/2020

Step 1

The function given is \( f(t) = \sqrt{t+1} \), which is a square root function. Show more…

Show all steps

lock

Thanks for your feedback!

Find the domain of the function. $$f(t)=\sqrt{t+1}$$

Play audio

Feedback

Powered by NumerAI

James Kiss and 67 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Function Domain

The domain of a function is the collection of all input values for which the function is defined. Determining the domain involves identifying any restrictions on the input, such as values that might lead to mathematical inconsistencies like division by zero or taking the square root of a negative number.

Square Root Function

A square root function is one in which the independent variable appears inside a square root. In the realm of real numbers, the expression under the square root, known as the radicand, must be non-negative. This constraint is essential for ensuring that the output of the square root function is real.

Radicand Restrictions

The necessity for the radicand to be non-negative (greater than or equal to zero) is a key concept when dealing with square root functions. Evaluating the condition that the radicand is non-negative by solving inequalities is crucial for determining the valid set of input values, or the domain, for the function.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later