Answer:
y = x + 1
Step-by-step explanation:
x - y = -1
-y = -x - 1
y = (-x - 1) ÷ -1
y = x + 1
First, find the asymptotes.
When does f(x) become undefined? When the numerator is 0
0=4x-4
4=4x
x=1
Therefore, x cannot be 1, this is a horizontal asymptote.
We also know that when the degree of x in the numerator is smaller than the degree of x in the denominator, y=0.
Now that we have the horizontal asymptotes, find a third point to draw the graph.
If x=2,
f(2)=-3/4(2)-4
=-3/4
Be sure to include this points in your graph.
Hope I helped :)
Answer:
See attached
Step-by-step explanation:
<em>Refer to attachment</em>
- a. Law of Syllogism
- b. No valid conclusion
- c. Law of Detachment
Answer:
f is not defined at x = 3 ⇒ answer (b)
Step-by-step explanation:
∵ f(x) = x² - x - 6/x² - 9 is a rational function
∴ It will be undefined at the values of x of the denominator
∵ The denominator is x² - 9
∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9
∴ x = ± 3
∴ f(x) can not be defined at x = 3
∴ The f(x) can not be continuous at x = 3
∴ The answer is (b)