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
DanielleElmas [232]
1 year ago
6

Help needed on this composition math problem

Mathematics
1 answer:
Marrrta [24]1 year ago
3 0

Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.

<h3>How to analyze a composed function</h3>

Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:

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

f\,\circ\,g\,(x) = \frac{\frac{1}{x} }{\frac{1-3\cdot x}{x} }

f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}

The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is \mathbb{R} - \{\frac{1}{3} \}.

To learn more on composed functions: brainly.com/question/12158468

#SPJ1

You might be interested in
What is the x-coordinate of the solution to the following system of equations?
Alja [10]

Answer:

-1,2

Step-by-step explanation:

6 0
3 years ago
What is the equation of the line that passes through the point (6, 4) and has a slope<br> of -2/3
ozzi
The equation would be y = -2/3x + 8
4 0
2 years ago
Does this graph show a function? Explain how you know.​
GREYUIT [131]

Answer:

the answer is C. No, it fails the vertical line test.

3 0
3 years ago
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each
Alexandra [31]

Answer:

(a) 3\frac{2}{3} boxes of cat food had been sold.

(b) \frac{11}{3} boxes of cat food had been sold.

Step-by-step explanation:

From the question,

Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,

5 × 15 tins of cat food were stacked onto the empty shelf.

5 × 15 = 75

Hence, 75 tins of cat food were stacked onto the empty shelf.

Also, from the question,

At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is

75 - 20 tins had been sold

75 - 20 = 55

Hence, 55 tins of cat food had been sold.

To determine the number of boxes of cat food that had been sold,

Since there are 15 tins of cat food per box, then

we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box

55 ÷ 15 = \frac{55}{15}

Hence, \frac{55}{15} boxes of cat food had been sold

(a) As a mixed number

\frac{55}{15}  = 3\frac{2}{3}

Hence, 3\frac{2}{3} boxes of cat food had been sold.

(b) As an improper fraction

\frac{55}{15}  = \frac{11}{3}

Hence, \frac{11}{3} boxes of cat food had been sold.

7 0
3 years ago
Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th flo
weeeeeb [17]

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

5 0
3 years ago
Other questions:
  • Sarah spent a total of $7.25 on 8 apples and a packet of grapes. If a packet of grapes cost $2.85, how much did each apple cost?
    12·1 answer
  • 25. Tom and Jerry must stuff and mail 1000
    6·2 answers
  • Please Help!! what value of b makes the trinomial below a perfect square?
    10·1 answer
  • Determine if the set of ordered pairs represents a function. Explain why or why not.
    8·1 answer
  • Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V
    14·1 answer
  • GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?
    9·2 answers
  • A runner starts at the beginning of a runners' path and runs at a constant rate of 6 mi/hr. Fifteen minutes later a second runne
    12·2 answers
  • Four streets feed into a roundabout circle as shown below. If the diameter of the
    11·1 answer
  • The total number of pennies on Row 1 is: 1 2 4 8 16 32 64 128 =.
    11·1 answer
  • A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!