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
Valentin [98]
3 years ago
13

Given the two functions, which statement is true?

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

You might be interested in
A state offers two lottery games, WinOne and PlayBall. Both games cost $2 per ticket.
uysha [10]
In this question, both tickets cost 2$ per ticket.
The answer to this question would be: $0

In WinOne scenario, you need to match a ticket that has to pick from A-J(10 possibilities) and 0-9 (10 possibilities). The chance to win would be: 1/10* 1/10= 1/100

The expected value must be:
E= chance to win * win amount - ticket price
E= 1//100*$200 - $2= $2-$2= 0
8 0
3 years ago
Which of the following are equivalent to the expression xi.? Select all that apply.
artcher [175]

Answer:

he answer is (2), (4) and (6).

Step-by-step explanation:

<em>Have a Great day!</em>

<em />

3 0
3 years ago
Jeremy boiled one cup of water and then let it cool at room temperature. The table shows the temperature, in degrees Fahrenheit,
Volgvan

Answer:How to simplify expressions with exponents and logs. • How to solve equations with ... 15) The temperature, T, of a given cup of hot chocolate after it has been cooling for tminutes can best be modeled by the function ...

Step-by-step explanation:How to simplify expressions with exponents and logs. • How to solve equations with ... 15) The temperature, T, of a given cup of hot chocolate after it has been cooling for tminutes can best be modeled by the function ...

5 0
3 years ago
Simplify the expression:<br> 10j2+9j2
SVEN [57.7K]
They’re both like terms so you add them together normally
10+9=19
so
19j2
8 0
3 years ago
Read 2 more answers
Use the table to work out the values of a , b , c , and d .​
finlep [7]

your so beautiful hayla pck me ahhh ahh yummy

tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}

3 0
2 years ago
Read 2 more answers
Other questions:
  • Beth and Mark would like to put some savings in the bank. They most likely will not need this money for 4 years, so Beth wants t
    8·1 answer
  • I WILL GIVE BRAINLIYEST HELP ASAP box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. Dan draws
    8·2 answers
  • Please answer this math question for me
    10·2 answers
  • Please help me no links!!
    5·2 answers
  • Please answer all of them! SHOW WORK!!
    6·1 answer
  • What fractional part is black?
    7·2 answers
  • 1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get
    15·2 answers
  • In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...
    15·1 answer
  • Sue is 55
    9·1 answer
  • Lamar works as a tutor for $12 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 100 hours at h
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!