Because they are apart of the euclidean plane. <span />
C. If I do not like math, then I do not like science is the inverse statement of "if I like math, then I like science."
Answer:
Option B:
Function A has a vertical asymptote at x = 1
Function B has a vertical asymptote at x = -3
Step-by-step explanation:
A function f(x) has a vertical asymptote if:
![\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%5C%5Ck%5E%2B%7Df%28x%29%20%3D%20%5C%C2%B1%5Cinfty%5C%5C%5C%5C%20%5Clim_%7Bx%20%5Cto%5C%5Ck%5E-%7Df%28x%29%20%3D%20%5C%C2%B1%5Cinfty)
This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.
We can calculate the asymptote for function A.
![\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5C%5C1%5E%2B%7D%28%5Cfrac%7B1%7D%7Bx-1%7D%29%5C%5C%5C%5C%20%5Clim_%7Bx%20%5Cto%20%5C%5C1%5E%2B%7D%28%5Cfrac%7B1%7D%7B1%5E-1%7D%29%5C%5C%5C%5C%20%5Clim_%7Bx%20%5Cto%20%5C%5C1%5E%2B%7D%28%5Cfrac%7B1%7D%7B0%7D%29%20%3D%20%5Cinfty%5C%5C%5C%5Cand%5C%5C%20%5Clim_%7Bx%20%5Cto%20%5C%5C1%5E-%7D%28%5Cfrac%7B1%7D%7Bx-1%7D%29%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%20%5C%5C1%5E-%7D%28%5Cfrac%7B1%7D%7B0%7D%29%20%3D%20-%5Cinfty)
Then, function A has a vertical asymptote at x = 1.
The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.
Therefore x = -3 is asintota of function B.
Therefore the correct answer is option B.
The answer is 94 just subtract 21 from 115 & that’s equals 94.
<span><span> x^2</span>+<span>2x</span></span>+<span>1</span>
= x^2 + 1x + 1x + 1
= (x^2+1x) + (1x+1)
= (x+1)(x+1)