answer.
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
Scrat [10]
2 years ago
12

F(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.

Mathematics
2 answers:
nikklg [1K]2 years ago
6 0

Step-by-step explanation:

f(x)=\dfrac{1}{x}\qquad\text{domain}:x\neq0\\\\g(x)=x-4\qquad\text{domain}:x\in\mathbb{R}\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\Rightarrow (g\circ f)(x)=\dfrac{1}{x}-4\qquad\text{domain}:\ x\neq0\\\\(g\circ f)(0)-\text{we can't calculate it because 0}\\.\qquad\qquad\text{ is not in the function domain.}\\\\\text{The expression}\ \dfrac{1}{0}\ \text{hasn't number sense}

Angelina_Jolie [31]2 years ago
5 0

Answer:

No: heres the sample:

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

have a good day :)

You might be interested in
Determine the product of (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
likoan [24]

Answer:

Step-by-step explanation:

a) = 46.2 X 10∧-1

   =0.462

b) = 5.7 x 10∧-6

   = 0.00057

3 0
2 years ago
A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the
zhuklara [117]

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

5 0
2 years ago
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for thi
xxTIMURxx [149]
Simple...

you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

Thus, your answer.


7 0
2 years ago
2m - nx = x + 4 with description
3241004551 [841]
Since <span>x</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>x</span> from both sides.<span><span><span><span><span>2m</span><span><span>−n</span>x</span></span><span>−x</span></span>=4
</span></span>Since 2m does not contain the variable to solve for, move it to the right side of the equation by subtracting 2m from both sides.<span><span><span><span><span>n</span>x</span><span>-x</span></span>=<span><span><span>-2</span>m</span>+4</span></span></span>Factor <span>x</span> out of <span><span><span><span>−n</span>x</span><span>−x</span></span></span><span><span><span>x<span>(<span><span>−n</span><span>−1</span></span>)</span></span>=<span><span><span>−2</span>m</span>+4</span></span></span>Divide each term by <span><span><span>−n</span><span>−1</span></span><span><span>-n</span><span>-1</span></span></span> and simplify.<span>x=<span><span><span>2<span>(<span>m<span>−2</span></span>)/</span></span><span>n+1</span></span></span></span>
7 0
2 years ago
Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the leng
Cerrena [4.2K]
Every inch of length of his model is representative of 25 inches in the actual car. So if the the actual car was 25 inches long, the model would be 1 inch long. The means the ratio of length is 0.04. You take that number, and multiply it by length of the actual car. 0.04 x 193.75 inches = 7.75 inches. The length of the model car is 7.75 inches.
3 0
2 years ago
Other questions:
  • Orly uses 2 cups of raisins for every 9 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cup
    11·1 answer
  • Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotie
    15·2 answers
  • Stevic's earnings. Sunday newspaper: Start at $ 36 and add $ 4 . Saturday newspaper: Start at $ 12 and add $ 2.50 . Part B Stevi
    9·1 answer
  • The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
    12·2 answers
  • The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di
    5·1 answer
  • Find the distance between the points J(−8, 0) and K(1, 4).
    11·2 answers
  • Mimi bought some fabric for a sewing project. The fabric cost $15.40 per meter. She bought 250 centimeters of fabric. How much d
    15·1 answer
  • Lila graphed y1= f(x) and y2 = g(x)as shown below. Use the graph to find the approximate solution to the equation f (x)=g(x)
    13·1 answer
  • What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
    5·2 answers
  • Zoe spent $3200 for his new computer. The computer’s value will depreciate by 35% each year. How much will his computer be worth
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!