According to the question, to express the rational function for the vertical asymptote whose equation is 
and horizontal asymptote whose equation is at 
As per the question, the function 'f(x)' is vertical at . Therefore, the denominator be 
The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function = 
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
To learn more about rational function from the given link:
<u>brainly.com/question/19044037</u>
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Answer:
-1 > -3
Step-by-step explanation:
In the first play, Mark's favorite team lost 3 yards. This mean a negative representation as is a lost: -3.
In the second play, Mark's favorite team lost 1 yards. This mean a negative representation as is a lost: -1.
When locating -3 and -1 in the number line, all the numbers to the right of the number -3 are greater than this number.
From this we can say that the inequality statement is: -1 > -3.
This means that -1 is greater than -3.
Answer:
68°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between the angle's adjacent side and the hypotenuse is ...
Cos = Adjacent/Hypotenuse
This means ...
cos(B) = a/c
B = arccos(1/√7) ≈ 68°
Answer:
A) 0.106
Step-by-step explanation:
8e^3x + 4 = 15
Subtract 4 from each side
8e^3x + 4-4 = 15-4
8e^3x = 11
Divide each side by 8
8/8e^3x = 11/8
e^(3x) = 11/8
Take the natural log of each side
ln(e^(3x)) = ln(11/8)
3x = ln(11/8)
Divide by 3
3x/3 = 1/3 ln(11/8)
x = 1/3 ln(11/8)
x =.106151244
To the nearest thousandth
x = .106
