Factorize the denominator:
If , we can cancel the factors of , which makes and removable discontinuities that appear as holes in the plot of .
We're then left with
which is undefined when , so this is the site of a vertical asymptote.
As gets arbitrarily large in magnitude, we find
since the degree of the denominator (3) is greater than the degree of the numerator (2). So is a horizontal asymptote.
Intercepts occur where (-intercepts) and the value of when (-intercept). There are no -intercepts because is never 0. On the other hand,
so there is one -intercept at (0, 1).
The domain of is the set of values that can take on for which exists. We've already shown that can't be -2, 2, or -1, so the domain is the set
Answer:
See explanation
Step-by-step explanation:
In triangles AKU and AVP,
AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
By AA similarity theorem, ΔAKU and ΔAVP are similar.
<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>
<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>
[ Refer to the attachment for steps ]
but while subtracting we have to take care about the signs !