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nevsk [136]
2 years ago
10

What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4

Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

<h3>What are Function?</h3>

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

\rm f(x) = \dfrac{3 x^2}{x^{2}-4}

This function can also be written as

\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function f(x)= \dfrac{mx^a}{nx^b}  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

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Thank you now help please
swat32
If it is #17 this:

the class sold 45 sandwiches and collected $150.75, all you need to do is divide.

150.75/45
= 3.35

$3.35 per sandwitch


4 0
3 years ago
In 4 hours you hike 10 miles which unit rate describes your speed on the hike 5 miles per hour 2.5 miles per hr 4/10 miles per h
Vikentia [17]
2.5 miles per hour because you have to divide to know per hour.
10/4=2.5
Done :)
4 0
3 years ago
A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How f
FromTheMoon [43]
In one hour he traced the distance of: 36.15 miles

With one gallon of gas he went: 12.05 miles 

;) There you go! Good Luck!
8 0
3 years ago
Read 2 more answers
Need help with math problem
Nikolay [14]
10 (1/2) = 5

hope this helps
4 0
3 years ago
Read 2 more answers
Will mark brainliest
Cerrena [4.2K]

Answer:

see explanation

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x - h) then

f(h) is the remainder, thus

division by (x - 1) then h = 1

f(1) = 4(1)³ - 7(1)² - 2(1) + 6

     = 4 - 7 - 2 + 6 = 1 ← remainder

The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0

Here f(1) = 1

Hence (x - 1) is not a factor of f(x)

8 0
3 years ago
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