Which statement is true about the discontinuities of the function f(x)?
1 answer:
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
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Answer:
The value of =
Step-by-step explanation:
Vertical Angle theorem: It is about the angles that are opposite to each other.
Also, vertical angle are congruent that means vertical angles are equal.
In the given figure; and
are vertical angle
then, by vertical angle theorem, .
Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.
From the figure, ,
and
forms a straight line.
then, by the definition of Supplementary angle;
Substituting the value of in above equation:
or
Simplify:
therefore, and
,
the value of .