Ward Goodwin
06/25/2024 · Elementary School
Find the domain of the function. \[ f(x)=4 x^{2}+2 x-1 \] all real numbers except \( x=-1 \) all real numbers except \( x=1 \) all real numbers except \( x=4 \) all real numbers except \( x=-\frac{1}{4} \) all real numbers \( x \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the domain of the function \( f(x) = 4x^2 + 2x - 1 \), we need to determine if there are any values of \( x \) that would make the function undefined.
The function \( f(x) \) is a polynomial, and polynomials are defined for all real numbers. Therefore, there are no restrictions on the values of \( x \).
Thus, the domain of the function \( f(x) \) is:
\[
\text{all real numbers } x
\]
So the correct answer is: **all real numbers \( x \)**.
Quick Answer
The domain is all real numbers \( x \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit