Finding the Domain of Radical Functions Determine the domain for each of the following functions. Write your answer in Interval Notation and as an Inequality. Radical Function f(x) = √2x - 14 g(x) = 7√-12x + 11 f(x) = 8 + √13x - 8 p(x)=√1+ 17x Domain written in Interval Notation [7,00) 0 11 (-0,21] من من 18 8 [ 17,00) 8 X Domain written as an Inequality
Finding the Domain of Radical Functions Determine the domain for each of the following functions. Write your answer in Interval Notation and as an Inequality. Radical Function f(x) = √2x - 14 g(x) = 7√-12x + 11 f(x) = 8 + √13x - 8 p(x)=√1+ 17x Domain written in Interval Notation [7,00) 0 11 (-0,21] من من 18 8 [ 17,00) 8 X Domain written as an Inequality
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![# Finding the Domain of Radical Functions
Determine the domain for each of the following functions. Write your answer in Interval Notation and as an Inequality.
| **Radical Function** | **Domain written in Interval Notation** | **Domain written as an Inequality** |
|-----------------------------------|----------------------------------------|-------------------------------------|
| \( f(x) = \sqrt{2x - 14} \) | \([7, \infty)\) ✓ | |
| \( g(x) = 7\sqrt{-12x + 11} \) | \((-\infty, \frac{11}{12}]\) ✓ | |
| \( f(x) = 8 + \sqrt{13x - 8} \) | \(\left[\frac{8}{13}, \infty\right)\) ✗ | |
| \( p(x) = \sqrt{-1 + 17x} \) | \(\left[\frac{1}{17}, \infty\right)\) ✓ | |
**Instructions:**
- Determine the correct interval notation for each function.
- Write the equivalent inequality for the domain.
**Question Help:**
- Message instructor
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Transcribed Image Text:# Finding the Domain of Radical Functions
Determine the domain for each of the following functions. Write your answer in Interval Notation and as an Inequality.
| **Radical Function** | **Domain written in Interval Notation** | **Domain written as an Inequality** |
|-----------------------------------|----------------------------------------|-------------------------------------|
| \( f(x) = \sqrt{2x - 14} \) | \([7, \infty)\) ✓ | |
| \( g(x) = 7\sqrt{-12x + 11} \) | \((-\infty, \frac{11}{12}]\) ✓ | |
| \( f(x) = 8 + \sqrt{13x - 8} \) | \(\left[\frac{8}{13}, \infty\right)\) ✗ | |
| \( p(x) = \sqrt{-1 + 17x} \) | \(\left[\frac{1}{17}, \infty\right)\) ✓ | |
**Instructions:**
- Determine the correct interval notation for each function.
- Write the equivalent inequality for the domain.
**Question Help:**
- Message instructor
[Submit Question]
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