Answered: Find the domain for each of the…

Math

Algebra

Find the domain for each of the following express your answer in interval notation. a.) f(x)=(3x-2)/x

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.5: Zeros Of Polynomial Functions

Problem 6TI: Use Descartes’ Rule of Signs to determine the maximum possible numbers of positive and negative real...

See similar textbooks

Related questions

Q: (a) Find a number x in the closed interval2 such that the sum of the number and its reciprocal is as…

Q: 19) For the function f(x)-2x-shown: a) Use the graph to predict the number of real zeros and the…

A: (1)The given function is f(x) = 2x4 – x2 – 1.

Q: For the pair of functions f and g, determine the domain of the sum, difference and product of the…

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

A: The given function is f(x)=-5x-4x2, (-∞,1]. a) Identify the function's local extreme values in the…

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

Q: a) Solve the following inequalities and show their solution set on a real number line. Express the…

A: 1) The 1st inequality is,…

Q: Solve the rational inequality. Express your answer in interval notation. 25 5x < x + 4 Answer

A: Solved below

Q: x3+3x2>x-3 the greater than is actually greater than or equal to. also write in interval notation.

Q: The perimeter of a triangle is given by the expression 4x - 5 and the perimeter of a rectangle is…

A: Given, The perimeter of a triangle is given by the expression 4x-5 and the perimeter…

Q: State the domain and range of g (a) = 5 - -4. The domain is all real numbers except and the range is…

A: This question can be easily solve

Q: At one car rental location, car rentals cost $40.00 per day for up to 200 miles. Each additional…

A: We are given the modeled function by C=40+0.35(m-200). As per the question, now we will use the…

Q: Use absolute value notation to define the interval (or pair of intervals) on the real number line.…

A: Consider the figure given below :

Q: Solve the inequality in terms of intervals. (Enter your answer using interval notation.) 2x + 5 > 1…

A: We have to find the solution

Q: f(x) = - 2x° + 18x² – 48x + 2, determine the intervals where the function is increasing and…

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A: We need to solve the inequality x-6x+2>0 Now, first, we find the critical point by equating both…

Q: olve the polynomial inequality and graph the solution set on a real number line Express the solution…

Q: Solve the inequality in terms of intervals. (Enter your answer using interval notation.) 3x − 8 < 1…

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A: NOTE: Refresh your page if you can't see any equations. . make a table x<-4 -4<x<5…

Q: 56. Writing to Learn The graph of y = In x looks as though it might be approaching a horizontal…

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

A: Given inequalilty:- x-3x+5>0

Q: I am having trouble understanding solving inequalities. I know that I have to set the numerator and…

A: To obtain the solution of the given inequality in interval notation, find the signs of the factors…

Q: Solve the inequality in terms of intervals. (Enter your answer using interval notation.) 9 − 5x ≥ 6…

Q: (a) On the real number line, graph all numbers x for which x > 4.(b) On the real number line,…

A: (1) we have to graph all numbers x for which x > 4. The shaded region represents the shaded…

Q: 1-1

A: To solve the inequalityx-1x+1x-3≤13

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A: you have: x(2 - x)(x - 4) < 0 Take out (-) from (2-x): x(x - 2)(x - 4) < 0 x(x - 2)(x - 4)…

Q: Solve the inequalities. Represent your final answer in interval notation. x-43 7-3y<2y+6

A: Explanation of the answer is as follows

Q: 2. f(x) = -3x° (3x – 12)* (5 – x) (a) What is the lead term? (b) Fill in the blanks using arrow…

A: Explanation: Given that, a) What is the lead term? The leading term is the term that has the…

Q: 3x+2 > 2x-3 >x-11 provide answer in interval notation

Q: Usibg a graphing device to solve the inequality. Express your answer in interval notation, with the…

A: Given: x³-5x²-8x+12>0

Q: olve below inequalities in terms of intervals. a) 3x +2 < 14 b) x +1< 4x – 8

A: We have to solve

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

Q: Express the solution set in interval notation and graph the set on a number line. The solution set…

A: Given, the solution set consists of all real numbers greater than -4. Let,x represent the solution…

Q: Using a graphing device to solve the equality express your answer using interval notation, with the…

A: Given : The inequality x4-5x3 + 18 x > 0 To solve : The inequality and express using interval…

Q: 3x – 2 2 6x + 7

A: Given inequality, 3x-2≥6x+7

Q: Use a graphing device to solve the inequality, as in Example 5. Express your answer using interval…

A: Given inequality, x4 − 4x3 + 8x > 0 Let, f(x) = x4 − 4x3 + 8x

Q: Solve the following rational inequality using an interval table (without graphing). Be sure to…

A: Solution

Q: Solve the inequality below using a sign chart. On your sign chart, be sure to distinguish between a…

A: Inequality problem Here denominator can't be zero otherwise function will tends towards…

Q: 2. f(x) = -3x°(3x – 12)°(5 – x) (a) What is the lead term? (b) Fill in the blanks using arrow…

A: -

Q: Solve the inequality in terms of intervals. (Enter your answer using interval notation.) −1 < 2x − 5…

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

Q: 3+w>5 or 2w<-10 solve and write in interval notation

Q: Solve Inequality Algebraically. Express final answer using interval Notation. |2-(x/3)|+1<7

A: First we subtract 1 from both sides and remove the absolute function.

Q: solution in interval notation. 2x + 4 < 8x

Q: Solve the inequation 1 1 x - 1 4 and enter the solution set in the box below as an interval. For…

A: 1x-1<-14

Q: QI) A: Proof that < where x & y € to the rational numbers B: Solve the following incqualities and…

A: see the attachment

Q: Use the intermediate value theorem to show that the function has a real zero bet the zero. P(x) =…

A: Given px=4x2-2x-3 Interval [1, 2]

Q: The inequality X < 15 can be used to resresent how tall a tree is, where x is its height in feet.…

A: We represent X < 15 in statement form where X is the height of the tree

Q: p = - 2² + 90x – 1400 is a profit formula for a small business. Find the set of z-values that will…

Question

When Using Interval Notation, how do you get to the answer? I studied this in Highschool a decade ago. Here is the problem

Find the domain for each of the following express your answer in interval notation.

a.) f(x)=(3x-2)/x

I sAID, the domain is {f(x)E R|except x=0}, I tried to use a number line ie,

________________Open circle_________________

-inf.____________0______________inf.

but then my interval notation understanding drops off and i am unsure if using

(-infinity,0)and(0,infinity) is correct or incorrect

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Use Descartes’ Rule of Signs to determine the maximum possible numbers of positive and negative real zeros for f(x)=2x410x3+11x215x+12. Use a graph to verify the numbers of positive and negative real zeros for thefunction.
When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
a graphing calculator is recommended A solar panel manufacturer estimates that the profit y (in dollars) generated by producing x solar panels per month is given by the equation s(x)=8x+0.8x^2-0.002x^3-4000 viewing rectangle: [0,400] by [-10000,20000] For what range of values of x is the company's greater than $14,000? (Round your values to the nearest integer. Enter your answer using interval notation.)
true or false ? the domain f(k)=k/k^2-9 is the set of real numbers except for k=3
The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin. Part A: Which of the following statements would be TRUE? A. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the width of the storage bin. B. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the width of the storage bin. C. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the length of the storage bin. D. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the length of the storage bin. Activity 2 of 2 Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area. A(x) =…
The perimeter of a square must be greater than 162 inches but less than 190 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: The perimeter of a square is given by P=4s, where s represents the length of a side). Express your answer in interval notation. Use decimal form for numerical values.
solution is inncorect. I dont see how this is to be entered in using interval notation
for piecewise funtion, find values g(-4), g(4), g(5) g(x)= {x+7, for X is less than or equal to 4 and 8-x, for X is greater than 4
-4 < -3x -5 < 16 When isolating the x variable, since the constant -3 is negative, does this mean you reverse the < when graphing and doing interval notation?
write the domain in interval notation. g(t)=3square root of t-8
Suppose that f(x) = x2 + 4x - 21.(a) What is the vertex of f?(b) What are the x-intercepts of the graph of f ?(c) Solve f(x) = - 21 for x. What points are on the graphof f ?(d) Use the information obtained in parts (a)–(c) to graphf(x) = x2 + 4x - 21.
wrie the domain in interval notation. f(x)=1/square root of 8-x