1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
9

If f(x) = 7+ 4x and g(x) = 1/2,

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

270

<h3>Further explanation</h3>

<u>Given:</u>

  • \boxed{ \ f(x) = 7 + 4x \ }
  • \boxed{ \ g(x) = \frac{1}{2x} \ }

<u>Question:</u>

What is the value of \boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }

<u>The Process:</u>

The form of \boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } means that f(x) is divided by g(x).

\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}

Let us solve the problem.

\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }

Thus, we get \boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}

And now, we can calculate the value of \bigg( \frac{f}{g} \bigg)(5).

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }

\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}

<h3>Learn more</h3>
  1. If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
  2. Solve for the value of the function composition brainly.com/question/2142762
  3. If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

#learnwithBrainly

You might be interested in
Martin has 28 basketball ball cards. Martin has 12 times as many basketball cards as Josie. Josie has 29 more cards than kal. Ho
Alona [7]

Answer:

28...?

Step-by-step explanation:

Well, the question states that Martin has 28 basketball cards at the start of the question, and asks how many he has at the end. Martin still has 28 cards. Unless part of the question was cut, then this is your answer.

7 0
3 years ago
The diagram is a straightedge and compass construction. A is the center of one circle,
mel-nik [20]

Answer:

All the points are the same distance from the center of line AB, therefore it is just the same triangle but rotated. They are the same triangle .

Step-by-step explanation:

5 0
3 years ago
(10x+5y)(x-6y) in the simplest form
noname [10]

Answer:

10x^{2}-55xy-30y^{2}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help!!No links
shepuryov [24]
X=12 do you need an explanation?
8 0
3 years ago
If ∠C ≅ ∠​M, ∠E ≅ ∠​Q, ≅ , ≅ , and ≅ , then _____ ≅ ∆MQN
sashaice [31]
Then angle MQN is <span>≅  angle MQN</span> 
6 0
3 years ago
Other questions:
  • a rectangle is inscribed in a circle of radius r. if the rectangle has length 3x, write the area of the rectangle as the product
    8·1 answer
  • What’s the inverse function of f(x)=4x^2-13
    15·1 answer
  • Please help asap!!!!!!
    5·1 answer
  • I will give u the brainliest i need the answer with the steps .pls abswer soon☺☺
    7·1 answer
  • Solve the Situation by using an inequality Statement. Choose the range of answers that make the Statement true.
    10·1 answer
  • Find the number that is 27 greater than twice the opposite of itself.​
    8·1 answer
  • A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is th
    13·1 answer
  • Maria purchase 1/2 lb of cheese for $3.50 at a farmers market what would be the cost for 4 lb of cheese
    12·2 answers
  • Find the term to term rules for the following sequences. 28 25 22 19 16 .​
    13·2 answers
  • A principal of $3100 is invested at 8.25% interest,compounded annually.How many years will it take to accumulate $10,000 or more
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!