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
vampirchik [111]
2 years ago
15

Trying to determine function of g(x).

Mathematics
2 answers:
Orlov [11]2 years ago
6 0

Answer:

g(x)=4\sqrt[3]{x}

Step-by-step explanation:

We can see that the curve has not been translated horizontally or vertically, nor has it been reflected in either axis.  Therefore, g(x) is a stretch:

y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a

y=f(a x) \implies f(x) \: \textsf{stretched parallel to the x-axis by a factor of} \: \dfrac{1}{a}

Parent function f(x)=\sqrt[3]{x}

\implies g(x)=a\:f(x)=a\sqrt[3]{x}

\textsf{or}\quad g(x)=f(ax)=\sqrt[3]{ax}

From inspection of the graph:

g(1)=4

Therefore:

\implies a\sqrt[3]{1}=4

\implies a=4

\implies g(x)=4\sqrt[3]{x}

Or:

\implies \sqrt[3]{a(1)}=4

\implies a=4^3

\implies a=64

\implies g(x)=\sqrt[3]{64x}

\implies g(x)=\sqrt[3]{64}\sqrt[3]{x}

\implies g(x)=4\sqrt[3]{x}

Therefore, the translated function is:

g(x)=4\sqrt[3]{x}

mario62 [17]2 years ago
3 0

Answer:

To find f(g(x)), we just substitute x = g(x) in the function f(x). For example, when f(x) = x2 and g(x) = 3x - 5, then f(g(x)) = f(3x - 5) = (3x - 5)2.

You might be interested in
Need some help please
Gnoma [55]
You can use this to help you. label the triangle like the picture and use the equations. I hope this helps.

3 0
3 years ago
Read 2 more answers
Please help, I need this answer
Rom4ik [11]

Answer:

6.4

Step-by-step explanation:

By the Pythagorean Theorem:

c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4

Hope this helps!

6 0
3 years ago
Read 2 more answers
Sean has some candy bars that he wants to give away. He is going to give each person \dfrac18 8 1 ​ start fraction, 1, divided b
Afina-wow [57]

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22

22 people can get candy.

8 0
3 years ago
Read 2 more answers
5.
tresset_1 [31]
A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
8 0
3 years ago
Read 2 more answers
What is x? 6(x+4)+3x-2
valina [46]
That is impossible to answer because this is an expression. you can only solve for x in equations
6 0
2 years ago
Other questions:
  • Mr. Thomas is making rice. One cup of rice requires 1/3 of a cup of water. He is making 2 1/2 cups of rice. How much water will
    5·1 answer
  • Estimate. Then find the product.
    6·2 answers
  • which equation is equivalent to (4x^5+11)^2 a.16x^5 +121 b.16x^10+ 121 c.16x^10+88x^5+ 121 d.16x^25+88^5+121
    7·2 answers
  • a right triangle has legs measuring 4.5 meters and 1.5 meters the lengths of the legs of a second triangle are proportional to t
    8·2 answers
  • Jacqueline, Kanisha ,Howard and Bill have a job in their group. The jobs are recorder,Material manager, Time keeper and reporter
    11·1 answer
  • Something costs $10.39 and i get 02.59lbs what would it cost
    13·1 answer
  • An avid collector wants to purchase a signed basketball from a particular playoff game. He plans to put
    8·1 answer
  • The point (2, 20) lies on the graph of y = kx'. Write the value of k.
    8·1 answer
  • Saul makes trail mix with peanuts, raisins, and pretzels. The ratio of cups of raisins to cup of peanut is 1 to 6. The ratio of
    14·1 answer
  • Factorize p2-15q-5p+2pq​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!