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3 years ago

If given f(x) = –4x – 2 and g(x) = 2x, what is (f · g)(x)?

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

You answer is f(2x)=16x

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The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people l

Natasha2012 [34]

The number of listeners is given from the total number of listeners and

the ratio of the listeners between the two stations.

Required:

<u>The FM sister station has 21,000 listeners</u>

<h3>How is the given ratio of listeners used to find the number of listeners?</h3>

Given:

The daily listening audience of the AM station = 4 × The audience of the FM sister station

The number of people that listen to the two stations = 105,000

Required:

The number of listeners of the FM station

Solution:

The ratio of the listeners is 1:4

Let <em>x</em> represent the number of listeners of the FM sister station, we have;

The number of listeners of AM radio station = 4·x

Which gives;

4·x + x = 105,000

5·x = 105,000

$x = \dfrac{105,000}{5} = \mathbf{21,000}$

The number of listeners of the FM sister station, x = <u>21,000</u>

<em />

<em>The number of listeners of he radio station = 21,000 × 4 = 84,000</em>

Learn more about ratios here:

brainly.com/question/2288625

5 0

2 years ago

What is 20% times what equals 30

myrzilka [38]

Answer:

20%×X=30

x=150

Step-by-step explanation:

30÷20%=150

20%×150=30

5 0

2 years ago

Please help me i will give brainlist<br> 25% of 40

elena55 [62]

Answer:

___ x 40 = 10

100

Consider 25 out of hundred since its a percent and the key word "cent" means 100. The keyword "of" means multiplication.

4 0

3 years ago

Which of the following statements correctly compares the rate of change for the money payed, measured as

Licemer1 [7]

C I am sorry if I am wrong

7 0

2 years ago

Read 2 more answers

Find each of the following for

KATRIN_1 [288]

<h2>Answer:</h2>

(a)

$f(x+ h)=8x+8h+3$

(b)

$f(x+ h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}=8$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as :

$f(x)=8x+3$

(a)

$f(x+ h)$

We will substitute (x+h) in place of x in the function f(x) as follows:

$f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3$

(b)

$f(x+ h)-f(x)$

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

$f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}$

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

$\dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8$

5 0

2 years ago