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
Mars2501 [29]
3 years ago
15

Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

13

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

You might be interested in
2 2/3 of what number is 6 1/7
borishaifa [10]

2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}

Solution:

Given 2\frac{2}{3} of what number is 6\frac{1}{7}.

Let us first convert the mixed fraction into improper fraction.

$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}

$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}

Now, let us take the unknown number be x.

$2\frac{2}{3}\times x=6\frac{1}{7}

$\frac{8}{3}\times x=\frac{43}{7}

Do the cross multiplication.

$ x=\frac{43}{7}\times\frac{3}{8}

$ x=\frac{43\times3}{7\times8}

$ x=\frac{129}{56}

Now, again change the improper fraction into mixed fraction.

$ x=2\frac{17}{56}

Hence 2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}.

6 0
3 years ago
Using the figure below, select the pair(s) of supplementary angles. (HINT** they may be more than 1 correct answer)
kondor19780726 [428]

Answer:

B, D

Step-by-step explanation:

Supplementary Angles: Add up to 180 degrees

Angle abe and Angle Ebc add up to 180 degrees

Angle ABD and Angle DBC add up to 180 degrees

3 0
3 years ago
Read 2 more answers
Write the data set that is shown on the dot plot in ascending order.
Lady_Fox [76]

Answer:

Step-by-step explanation:

1,2,3,3,3,3,5,6,7,10,10,10,11,11,12,12,13,13,

14,15

5 0
3 years ago
An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
What is k in this question<br> k/1.5 = 3
Reptile [31]

Answer:k equals 4.5

Step-by-step explanation: you multiply 1.5 times three

3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the digits 1-7 to create a seven-digit number that can be rounded to 6,300,000
    12·1 answer
  • Graph the inequality x &gt; 3.
    15·2 answers
  • the price of a dress is 95.95 the state sales tax is 8.75% added then a 10.50 charge for shipping was added after the sales tax
    9·2 answers
  • PLEASE HELP !
    7·2 answers
  • Can someone answer this Algebra question asap? thanks
    6·1 answer
  • Write an equation for the parabolla
    7·1 answer
  • Can someone please help me answer this question?​
    7·2 answers
  • Determine the equation of the inverse of:<br> f(x) = 5x^2+ 80x – 15
    15·1 answer
  • Does anyone know the answer ??
    9·2 answers
  • Please help ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!