Welcome :: Homework Help and Answers :: Mathskey.com

Q&A
Unanswered
Categories
Users
Ask a Question

Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

Q&A Categories
BASIC MATH (93)
PRE-ALGEBRA (441)
ALGEBRA 1 (2,220)
GEOMETRY (864)
ALGEBRA 2 (2,751)
TRIGONOMETRY (1,187)
PRECALCULUS (1,903)
CALCULUS (2,802)
STATISTICS (129)
PHYSICS (659)
CHEMISTRY (137)
MECHANICAL ENGINEERING (64)
ELECTRICAL ENGINEERING (207)
Winplot Tutorials (2)

Most popular tags

solving-equations system-of-equations functions math slope-intercept-form physics homework-help trigonometric-identities integration limits substitution-method calculus

13,459 questions

17,854 answers

1,446 comments

805,740 users

Calculus, 8th Edition,stewart; page 21 problem 32

0 votes

Find the domain of the function.

f(x) = (2x^3 - 5)/(x^2 + x - 6)

functions
domain-of-a-function

asked Jul 27, 2015 in CALCULUS by anonymous

Share this question

Google+ Facebook Twitter LinkedIn Reddit

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 votes

Step:1

The function is $f(x)=\frac{2x^3-5}{x^2+x-6}$ .

All possible values of $\large x$ is domain of a function.

The denominator of the function should not be zero.

$x^2+x-6\neq 0$

$x^2+3x-2x-6\neq 0$

$x(x+3)-2(x+3)\neq 0$

$(x+3)(x-2)\neq 0$

$x+3\neq 0$ and $x-2\neq 0$

$x\neq -3$ and $x\neq 2$ .

Hence, the domain of function is set of all real numbers except $-3$ and $2$ .

The domain of the function is $(-\infty, -3 )\cup (-3, 2)\cup (2, \infty )$ .

Solution:

The domain of the function is $(-\infty, -3 )\cup (-3, 2)\cup (2, \infty )$ .

answered Jul 28, 2015 by dozey Mentor

Please log in or register to add a comment.

Related questions

Calculus, 8th Edition,stewart; page 21 problem 41

asked Jul 27, 2015 in CALCULUS by anonymous

functions
piecewise-function
domain-of-a-function
graph-of-the-function

Calculus, 8th Edition,stewart; page 44 problem 41

asked Jul 31, 2015 in CALCULUS by anonymous

functions
domain-of-a-function

Calculus, 8th Edition,stewart; page 44 problem 37

asked Jul 31, 2015 in CALCULUS by anonymous

functions
domain-of-a-function

Calculus, 8th Edition,stewart; page 44 problem 31

asked Jul 31, 2015 in CALCULUS by anonymous

functions
domain-of-a-function

Calculus, 8th Edition,stewart; page 22 problem 63

asked Jul 28, 2015 in CALCULUS by anonymous

functions
domain-of-a-function
volume-of-the-box

Calculus, 8th Edition,stewart; page 19 problem 9

asked Jul 27, 2015 in CALCULUS by anonymous

functions
domain-of-a-function
range-of-a-function

Calculus, 8th Edition,stewart; page 19 problem 2

asked Jul 27, 2015 in CALCULUS by anonymous

functions
domain-of-a-function

Calculus, 8th Edition,stewart; page 34 problem 21

asked Jul 30, 2015 in CALCULUS by anonymous

functions
graphing-functions

Calculus, 8th Edition,stewart; page 21 problem 51

asked Jul 27, 2015 in CALCULUS by anonymous

functions
line-segment
standard-form-of-an-equation

Calculus, 8th Edition,stewart; page 21 problem 27

asked Jul 27, 2015 in CALCULUS by anonymous

functions
difference-quotient
simplify-functions

Calculus, 8th Edition,stewart; page 22 problem 58

asked Jul 27, 2015 in CALCULUS by anonymous

area-of-a-rectangle
domain-of-a-function
perimeter-of-a-rectangle

Calculus, 8th Edition,stewart; page 92 problem 33

asked Aug 12, 2015 in CALCULUS by anonymous

functions
graphing-functions
discontinuities-function

Calculus, 8th Edition,stewart; page 82 problem 39

asked Aug 11, 2015 in CALCULUS by anonymous

functions
rational-expressions
irrational-expressions

Calculus, 8th Edition,stewart; page 70 problem 19

asked Aug 11, 2015 in CALCULUS by anonymous

functions
limit-of-a-function
evaluate-the-limit

Calculus, 8th Edition,stewart; page 60 problem 13

asked Aug 5, 2015 in CALCULUS by anonymous

functions
graphing-functions

Calculus, 8th Edition,stewart; page 59 problem 3

asked Aug 5, 2015 in CALCULUS by anonymous

functions
limit-of-a-function

Calculus, 8th Edition,stewart; page 45 problem 65

asked Aug 3, 2015 in CALCULUS by anonymous

functions
even-function
composite-functions

Calculus, 8th Edition,stewart; page 45 problem 61

asked Aug 3, 2015 in CALCULUS by anonymous

functions
linear-functions
graphing-functions

Calculus, 8th Edition,stewart; page 44 problem 57

asked Aug 3, 2015 in CALCULUS by anonymous

functions
speed-distance

Calculus, 8th Edition,stewart; page 44 problem 55

asked Aug 3, 2015 in CALCULUS by anonymous

functions
speed-distance
area-of-a-circular-ripple

Copyright © 2024 MATHSKEY. All Rights Reserved. Sitemap|Terms Of Use|Disclaimer|Contact Us|FAQ

...