Find all numbers because that which the rational expression is undefined. If the rational expression is defined for all real numbers, for this reason state.
You are watching: When is a rational expression undefined
A reasonable expression will always be unknown at precisely the values of x the make the denominator zero since division by zero is undefined. So, in this case, we require to recognize the zeroes that the denominator x2 + x - 20.
Factoring this polynomial we have actually x2 + x - 20 = (x+5)(x-4) and so we see the zeroes room x=4 and x=-5.
It looks prefer we are handling 1 of 2 expressions.x+ 3/x^2+x-20x+3/(x^2+x-20)
In either instance the method is the same.
In the situation of division, we should find any kind of values of x that evaluate the denominator equal to zero.
So set your denominator same to zero and also solve. This will determine the worths of x where the reasonable expression is undefined.
Based on just how the best side of this expression is written, that looks favor we"ll require some factoring.
asking a inquiry for totally free
acquire a cost-free answer to a fast problem. Most questions answered in ~ 4 hours.
discover an online Tutor now
select an expert and also meet online. No packages or subscriptions, pay only for the moment you need.
¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊
math Algebra 1 Calculus Geometry Precalculus Trigonometry Finance Probability Algebra Word problem ... Features Word troubles Algebra assist College Algebra Math help Polynomials Algebra Word difficulty Mathematics Algebra 2 inquiry Algebra 2 help
RELATED QUESTIONSgraph, find x and also y intercepts and test for symmetry x=y^3
answers · 3-2x/x+6+5=-x/x+6
answers · 5discover the mean and also standard deviation for the random variable x offered the following circulation
answer · 3using interval notation to present intervals that increasing and also decreasing and postive and an adverse
answer · 4problem spots because that the domain may happen where the denominator is ? or wherein the expression under a square source symbol is an unfavorable
answers · 2
Marlene S.4.9 (2,263)
Fanit K.5.0 (398)
Kevin A.5.0 (1,575)
See an ext tutors
find an digital tutor
Download our complimentary app
A connect to the app was sent out to your phone.
See more: Chrysler Town And Country Radio Reset, Resetting Uconnect
Please carry out a valid phone number.
Google play application Store
obtain to understand us
find out with united state
job-related with us
Download our free app
Google play app Store
Let’s store in touch
Tabs end spaces!
Need more convincing?
finest in business since 2005
Tutors by topic
Tutors by place
© 2005 - 2021 bsci-ch.org, Inc. - all Rights scheduled