The algebraic form of the complex number whose modulus = 3 and its amplitude = π is ….

Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D

BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

$R(x) = \frac{x}{x^2-x-2}$

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

$x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2$

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

#LearnwithBrainly

7 0

4 years ago

If a number y has z positive integers factors, then y and 2z integer factors. True or false?

harina [27]

Answer: TRUE

<h2 /><h2 /><h2 /><h2 /><h2>ANSWER IS IN THE PICTURE MARK ME BRAINLIEST!!</h2>

6 0

3 years ago

Read 2 more answers

Adding and subtracting in scientific notation (picture provided)

BlackZzzverrR [31]

Answer:

ans. = 5400000000 or 5.4×10^9

Step-by-step explanation:

14000000000-8600000000

3 0

4 years ago

Read 2 more answers

The number of people playing a new phone app game triples every month. When the app first launched, 800 people started playing t

NeTakaya

Answer:

$a_t=ar^{t-1}$

t=6 months

Step-by-step explanation:

We are given that the number of people playing a new phone app game triples every month

When the app first launch , the number of people started playing the game right away=800

According to question

The number of peoples are currently playing the game=194,400

We solve by using the formula of geometric series because we get a geometric series pattern

The number of people playing the game when app game launch=800

The number of people playing game after one month=2400

800,2400,7200,........,194,400

$a_1=800,a_2=2400,a_3=7200,a_t=194,400$

We are finding common ratio

$\frac{a_2}{a_1}=\frac{2400}{800}=3$

$\frac{a_3}{a_2}=\frac{7200}{2400}=3$

Hence, the common ratio is 3 therefor nth term of G.P

$a_t=ar^{t-1}$

a=800,r=3, $a_t=194,400$

Substitute the values then we get

$194,400=800(3)^{t-1}$

$\frac[194400}{800}=(3)^{t-1}$

$243=3^{t-1}$

$3^5=3^{t-1}$

When base are same on both side then the power are equals

Therefore, t-1=5

t=5+1=6

Hence, when there are 194,400 people currently playing the game then

the number of months ,t=6 that have passed since the app launched.

7 0

3 years ago

Subject is Trigonometry. Solve for X.

Wewaii [24]

Answer:

16.3°

Step-by-step explanation:

Cos x = adjacent side/hypotenuse

= 24/25

x = arccos (24/25) = 16.3°

You must memorize the definitions of the trig functions and then this type of problem is easy. OK?

6 0

3 years ago