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
Lelechka [254]
3 years ago
13

If f(x)=x-3/x and g(x)=5x-4, what is the domain of (f•g)(x)

Mathematics
2 answers:
lapo4ka [179]3 years ago
8 0

Answer:

\{x|x\neq \frac{4}{5}\}

Step-by-step explanation:

Given functions are,

f(x)=\frac{x-3}{x}-----(1)

g(x)=5x-4-----(2)

Now, by the property of composition of functions,

(fog)(x)=f(g(x))

=f(5x-4)    ( From equation (2) )

=\frac{5x-4-3}{5x-4}   ( From equation (1) )

=\frac{5x-7}{5x-4}

Which is a rational function,

Since, the rational function is defined for all real numbers except those real values for which denominator = 0,

If 5x - 4 = 0

\implies x = \frac{4}{5}

So, the function (fog) is defined for all real numbers except 4/5,

Therefore, the domain of (fog)(x) is \{x|x\neq \frac{4}{5}\}.

valentina_108 [34]3 years ago
4 0
Log number 1 find catalog 5 - 4 = 1 . ( f .g ) 1 log = 0
You might be interested in
Meredith was paid $18 for recycling 30 pounds glass. What is this rate payment
hammer [34]

$1.67 for each pound of glass

3 0
3 years ago
A company has introduced two new products to the market. The revenue generated by product A was $63,000 in the first year, and t
elena-s [515]
The correct answer is <span>R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936</span>
6 0
3 years ago
Read 2 more answers
in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . d
Damm [24]

Step-by-step explanation:

<h3>It will help you !!!!!!!!!!</h3>

4 0
3 years ago
Read 2 more answers
For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards.
garri49 [273]

Answer:

Same, because they are parallel.

Step-by-step explanation:

4 0
2 years ago
Complete the following.(a) Find the greatest common factor (GCF) of 63 and 36.хGCF = 0(b) Use the GCF to factor 63 -36.63 – 36 =
morpeh [17]
Answer:

a) The GCF of 63 and 36 is 9

b)

63-36=9\times(7-4)

Explanation:

a) To find the GCF of 63 and 36, we do the following:

Write 63 and 36 as follows:

\begin{gathered} 63=3\times3\times7 \\ 36=2\times2\times3\times3 \end{gathered}

The common factors are:

3\times3

Therefore, the Greatest Common Factor (GCF) is 9

b) To find the factor 63 - 36

63-36=9\times(7-4)

6 0
11 months ago
Other questions:
  • What is 8244 estimated
    12·2 answers
  • Point Q is translated left 7, up 6. Which is the coordinate pair for the translated point Q'?
    11·1 answer
  • 3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
    15·1 answer
  • M Mike runs eight laps and six minutes how many laps per minute does he runs
    5·1 answer
  • pipefitter must connect two pipes as shown. The run is 35 feet while the set is 23 feet. How long a pipe will he need, C, and wh
    11·1 answer
  • Wayne drove 2 miles west and then 6 miles south, how far is he from his starting point?
    9·1 answer
  • If the perimeter of a triangle is 10x + 5y and two of the sides are 3x + 4y and 5x − y, which is the third side? A. 2x + 2y B. 2
    15·1 answer
  • A patient with diabetes self-injected 5 units of regular insulin and 15 units of NPH insulin at 0800. When should the nurse asse
    14·1 answer
  • What is more 7 7/9 or 7 4/5?
    7·1 answer
  • Please help!!!———————-
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!