Find all values of x at which the function f defined by f(x) = x-5 ²-7x+12 is continuous, expressing your answer in in- terval notation. 1. (-∞0, 4) U (4, ∞0) 2 (-∞0, 3) U (3,00) 3. (-∞, 3) U (3,4) U (4, ∞) 4. (-∞, -3) U (-3,4) U (4,00) 5. (-∞, -4) U (-4,-3) U (-3, ∞o)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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:::(((((((
Find all values of x at which the function f
defined by
f(x)
=
x-5
x²-7x+12
is continuous, expressing your answer in in-
terval notation.
1. (-∞0, 4) U (4, ∞0)
2 (-∞0, 3) U (3, 0)
3. (-∞, 3) U (3, 4) U (4, ∞)
4. (-∞, -3) U (-3,4) U (4, ∞)
5. (-∞, -4) U(-4,-3) U (-3, ∞)
Transcribed Image Text:Find all values of x at which the function f defined by f(x) = x-5 x²-7x+12 is continuous, expressing your answer in in- terval notation. 1. (-∞0, 4) U (4, ∞0) 2 (-∞0, 3) U (3, 0) 3. (-∞, 3) U (3, 4) U (4, ∞) 4. (-∞, -3) U (-3,4) U (4, ∞) 5. (-∞, -4) U(-4,-3) U (-3, ∞)
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