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For what value of the constant c is the function f(x) continuous on the interval (-∞, ∞) where 4c - f(x) = {5cz - 6c if x ≤ 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negat infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.

For what value of the constant c is the function f(x) continuous on the interval (-∞, ∞) where 4c - f(x) = {5cz - 6c if x ≤ 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negat infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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For what value of the constant c is the function f(x) continuous on the interval (-∞0, ∞) where f(x) = [x² - 4c 5cx - 6c if x < 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negative infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.
Transcribed Image Text:For what value of the constant c is the function f(x) continuous on the interval (-∞0, ∞) where f(x) = [x² - 4c 5cx - 6c if x < 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negative infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.
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