Ask question

Ask question

All categories

3 years ago

12

What is the equation for the vertical asymptote of the function shown below? f(x)=3x^4-3/2x-5

1 answer:

levacccp [35]3 years ago

3 0

$f(x)= \frac{3x^4}{2x-5}$

the va's are where x is undefined, or where the denomenator is zero
first simplify if applicable
cannot simplify

set denom to zero
2x-5=0
2x=5
x=2.5

the vertical assemtote is vertical so it is x=2.5 or 5/2

the VA is x=5/2

You might be interested in

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

Kaylis [27]

Answer:

Option D.

Step-by-step explanation:

The given parent function is

$f(x)=\dfrac{1}{x}$

The given function is

$g(x)=\dfrac{1}{x+4}-6$

Using the parent function, the given function can be written as

$g(x)=f(x+4)-6$ ...(1)

The translation is defined as

$g(x)=f(x+a)+b$ .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=4>0$ , it means the graph shifts 4 units left.

$b=-6$ , it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

7 0

3 years ago

Read 2 more answers

One of the fastest recorded speeds of a turtle while swimming is 9 m/s. Approximately, what is this speed in kilometers per hour

torisob [31]

32.5 kilometers per hour

7 0

3 years ago

Read 2 more answers

The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and t

Levart [38]

Answer:

c) Length = 12, width = 8 and height = 23.

Step-by-step explanation:

Let the length be x, then the width = x - 4 and the height = 2x - 1.

a) The polynomial is x(x - 4)(2x - 1)

b) x(x - 4)(2x - 1) = 2208

c) x(x - 4)(2x - 1) - 2280 = 0

2x^3 - 9x^2 + 4x - 2280 = 0

I'll use graphical software to find a solution for this. Its easily obtained online.

There is one real root and its x = 12.

So the dimensions of the box are L = 12, W = 8 and H = 23 inches.

6 0

3 years ago

Read 2 more answers

A store is selling scooter for $40. You have a coupon and person for $15. What percent was the coupon? 20 points!!

Paraphin [41]

Answer:

$15 is 37.5% of $40.

Step-by-step explanation:

5 0

3 years ago

Will be giving brainliest to the correct one, no links or account will be reported:)

aleksandr82 [10.1K]

Answer:

x = 38

∠P = 26º

Step-by-step explanation:

The sum of the angle in a triangle is 180

x + (x + 78) + (x - 12) = 180

Combine like terms

3x + 66 = 180

Subtract 66 from both sides

3x = 114

Divide both sides by 3

x = 38

-----------------------

∠P = x - 12

∠P = 38 - 12

∠P = 26º

7 0

3 years ago

Read 2 more answers