q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]
According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>
Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
To learn more on rational functions: brainly.com/question/27914791
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Answer:
64 1/2
Step-by-step explanation:
5x12=60
3/8x12/1= 36/8= 9/2 9/2=4 1/2
60+4 1/2= 64 1/2
ZCAB angle is congruent to ZBAD
Answer:
3x(2x^2 +x-1)
Step-by-step explanation:
f(x) = 11x^3 + 3x^2 - 4x + 2,
g(x) = 5x^3 - 7x + 2,
f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=
11x^3+3x^2 -4x+2-5x^3+7x-2=
(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=
6x^3 +3x^2 - 3x=
3x(2x^2 +x-1)
Answer:3600 Step-by-step explanation:
