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adell [148]
3 years ago
11

suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x)

=2x. what is a rule for g(f(x)? what is a rule for f(g(x))?
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
The solution to the problem is as follows:

f o g = 8x + 7 
<span>g o f = 2 ( 4x + 7 ) = 8x + 14
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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A function f(x) = x^2 - 4 has a domain as the set of integers
mel-nik [20]

Answer:

8

Step-by-step explanation:

f(x) = (x+2)(x-2)

Substituting x=1 into f(x):

f(1) = 3*-1

     = -3

Since -2 & 2 touch the x-axis, 1 has a negative y value, 2 has a y value of 0, and all values from 2, are positive.

Hence,

3, 4, 5, 6, 7, 8, 9, 10 are all positive. Therefore, the answer is 8

This can be confirmed with a graph, as attached below.

<em>Feel free to mark this as brainliest! :D</em>

5 0
3 years ago
Dr. Hoover, a pediatrician, has 3 annual checkups and 2 sick visits scheduled next Tuesday,
Jet001 [13]

Dr. Hoover allot his time on Tuesday for an annual checkup is 147 minutes and for a sick  visit is 42 minutes ​(Total 189 minutes)

On Wednesday appointment,  he allot his time for an annual checkup is 147 minutes and for a sick  visit is 21  minutes ​ (Total 168 minutes)

solution

Let us assume, minutes for annual checkup denoted as x and

minutes for sick visit denoted as y

The equation of Tuesday visit is       3x + 2y = 189 minutes ------ 1

The equation of Wednesday visit is    3x + 1y = 168 minutes ------ 2

by changing the signs of the equation 2  and  subtract it from the equation 1 we will get   1y = 21 minutes

to substitute y =1 in the equation 2 we get

3x + 2(21) = 189

3x + 42 = 189

3x = 189 - 42

3x = 147

x = 147 ÷ 3 = 49 minutes

then now we have substitute both x = 49 and y= 21 in equation ----- 2

we will prove that 3x + 2y = 189  = 3 (49) + 2(21) = 189 147+ 42 = 189 minutes

so the Tuesday appointment , the time allotted for an annual checkup is 147 minutes and for a sick  visit is 42 minutes ​(Total 189 minutes)

On Wednesday appointment,  the time allotted for an annual checkup is 147 minutes and for a sick  visit is 21  minutes ​ (Total 168 minutes)

         

6 0
4 years ago
Solve the inequality 2 (m+3) +1 &gt; 23
Rasek [7]

Answer:

m>8

Step-by-step explanation:

The first step will be to distribute the 2, so that the equation becomes 2m + 6 + 1 > 23.

From here we should combine like terms, which just means adding 6 and 1, so that the equation is now 2m+7>23. Now, we just subtract 7 on both sides, which brings leave us with 2m > 16.

Lastly dividing by 2 on both sides, the answer is m>8

5 0
3 years ago
Find the sum of 46 + 42 + 38 + ... + (-446) + (-450)46+42+38+...+(−446)+(−450)
JulijaS [17]

sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

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

We need to find sum of sequence  : 46 + 42 + 38 + ... + (-446) + (-450)

Given sequence is an AP with following parameters as :

a=46\\d=42-46=-4

So , Let's calculate how many terms are there as :

⇒ a_n=a +(n-1)d

⇒ -450=46 +(n-1)(-4)

⇒ -496=(n-1)(-4)

⇒ \frac{-496}{-4}=n-1

⇒ 124=n-1

⇒ n=125

Sum of an AP is :

⇒ S_n = \frac{n}{2}(2a+(n-1)d)

⇒ S_1_2_5 = \frac{125}{2}(2(46)+(125-1)(-4))

⇒ S_1_2_5 = \frac{125}{2}(-404)

⇒ S_1_2_5 =-25,250

Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

3 0
3 years ago
Read 2 more answers
You have a jar of marbles. There are 15 red, 20 blue, 7 green, and 18 yellow marbles. You choose a marble at random from the jar
Nookie1986 [14]

Answer:

the right answer is b. 2/3

6 0
3 years ago
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