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elixir [45]
3 years ago
14

Given f(x)= x3 and g(x) = 2x + 7, express (fºg)(x)'as a function of x.

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

(f∘g)(x)=(2x+7)^3

Step-by-step explanation:

substitute g(x) in f(x)

(f∘g)(x)=f(g(x))=f(2x+7)=(2x+7)^3=(2x+7)^3

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I need help on a mathematics question. I need an explanation.
Natali [406]

To solve this problem you must apply the proccedure shown below:

1- To solve the logarithm expression 2 log x = log 64, you must apply the following properties:

alogx=logx^{a}

logx-logy=log(x/y)

a^{log(a)x}=x

2-Keeping this on mind, you have:

log x^{2}-log 64=0\\  log(x^{2} /64)=0\\ 10^{log(x^{2} /64)} =10^{0} \\ x^{2} /64=1

3. Now, solve for x:

x=\sqrt{64}\\ x=8, x=-8

4. If you susbtitute x=-8 into the expression shown in the problem, you will see that it is invalid.

Therefore. the answer is: x=8.

7 0
4 years ago
Jason divides his first 1/2 mile of the trail into 3 sections. He puts a sign at the end of each section. If the signs are an eq
Blizzard [7]

Answer:

1/6 mile

Step-by-step explanation:

Distance divided = 1/2 miles

No of sections = 3

Each division must equal = 1/2/3

                             = 1/2*1/3 = 1/6 mile.

The distance between each of the signs i.e between the first and second , second and third is 1/6 of the mile.

This can be done in decimals as well

1/2 mile= 0.5 mile.

When we divide 0.5 mile by 3 we get  0.167 which is equal to 1/6 in fractions.

8 0
3 years ago
Ten students stand in a circle and are told to make a transverse wave. What best describes the motion of the students? Each stud
horsena [70]

Lifting hands and the down by one student at a time best describe the presentation of the transverse wave by students.

<h2>Given that</h2>

Ten students stand in a circle and are told to make a transverse wave.

<h3>We have to determine</h3>

What best describes the motion of the students?

<h3>According to the question</h3>

The wave in which the oscillation of particles is is perpendicular to the direction of energy transfer.

The students can make a transverse wave by raising their hands up and then down, one student at a time.

The raised hand represents the oscillation of particles while the sequence of the raising hand represents the direction of energy transfer.

Hence, lifting hands and the down by one student at a time best describe the presentation of the transverse wave by students.

To know more about Transverse Wave click the link given below.

brainly.com/question/17551139

8 0
2 years ago
Solve for y. 10y - 5 = -20​
dangina [55]
10y - 5 = -20 (add 5 from both sides)
10y = -15 (divide by 10)
y = -1.5
hope this helps :)

5 0
3 years ago
There are 180 people at Mary Ellen’s wedding. She pays $32.50 for food for each child and $67 for food for each adult. The total
worty [1.4K]
Dont really know what the question is but,,


there are around 30 adults and 31 children. 
7 0
3 years ago
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