Use the figure to solve each inequality. Q 20 (a) g(x) 2 f(x) (b) f(x) > g(x) -10-8-6-4-2 ..... (a) The solution to g(x) > f(x) is (Type your answer in interval notation.)
Use the figure to solve each inequality. Q 20 (a) g(x) 2 f(x) (b) f(x) > g(x) -10-8-6-4-2 ..... (a) The solution to g(x) > f(x) is (Type your answer in interval notation.)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Instructions:**
Use the figure to solve each inequality.
(a) \( g(x) \geq f(x) \)
(b) \( f(x) > g(x) \)
**Graph Explanation:**
The image includes a coordinate plane with two functions graphed.
1. **Function \( f(x) \)**: This is represented by a blue parabola opening upwards, passing through the points approximately \((-4, 16)\), \((0, 0)\), and \((4, 16)\).
2. **Function \( g(x) \)**: This is represented by a red straight line with a negative slope, crossing the y-axis at \(y = 8\) and the x-axis at about \(x = 8\).
**Intersection Points:**
The two functions intersect at approximately \((2, 4)\) and \((4, 16)\).
**Solution to Inequality:**
(a) The solution to \( g(x) \geq f(x) \) is \([2, 4]\).
(Type your answer in interval notation.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcddd9253-3f40-42a6-9522-fda4ab88f757%2F88ad6cec-8769-4b25-9ac7-7538cd35c84d%2Flogrees_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions:**
Use the figure to solve each inequality.
(a) \( g(x) \geq f(x) \)
(b) \( f(x) > g(x) \)
**Graph Explanation:**
The image includes a coordinate plane with two functions graphed.
1. **Function \( f(x) \)**: This is represented by a blue parabola opening upwards, passing through the points approximately \((-4, 16)\), \((0, 0)\), and \((4, 16)\).
2. **Function \( g(x) \)**: This is represented by a red straight line with a negative slope, crossing the y-axis at \(y = 8\) and the x-axis at about \(x = 8\).
**Intersection Points:**
The two functions intersect at approximately \((2, 4)\) and \((4, 16)\).
**Solution to Inequality:**
(a) The solution to \( g(x) \geq f(x) \) is \([2, 4]\).
(Type your answer in interval notation.)
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