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
B(0, 6), C(2,-5), D(-8, -1),<br> Least to greatest
Viktor [21]

Step-by-step explanation:

D,C,B

4 0
3 years ago
Which among the four choices gives the difference of (x/4x²) and (3/4x²)?​
Sergeeva-Olga [200]

Answer:

2

Step-by-step explanation:

the difference is that

6 0
3 years ago
What is the measure of ∠4? Enter your answer in the box.
charle [14.2K]

Step-by-step explanation:

\angle 4, \:60\degree \:\&\:61\degree are straight line angles.

\therefore \angle \: 4 + 60 \degree + 60 \degree = 180\degree \\  \\  \therefore \:  \angle \: 4 = 180\degree - 121\degree \\  \\ \huge \red {\boxed {\therefore \:  \angle \: 4 = 59\degree}}

4 0
2 years ago
Read 2 more answers
Last year a website had 40,000 visitores and this year it ha 37,000 visitores
Ksenya-84 [330]

Answer:

okay, what's the rest of the question?

6 0
2 years ago
Read 2 more answers
Which expressions are equivalent to 5^18?
s2008m [1.1K]

Answer:

D.5^12 X 5^6 is the correct answer.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Can you factor the common factor out of this problem? 28b+14b^2+35b^3+7b^5
    7·1 answer
  • The total cost after tax to repair Keisha’s iphone is represented by the expression 0.09(75h) + 75h, where h represents the numb
    9·1 answer
  • Random digits 0,1,2,3,4,5,6,7,8,9. what is the probability that a multiple of 4 is picked?
    13·1 answer
  • Find the coordinates of the other endpoint of a segment with endpoint X(-2,3) and midpoint (1,-2)
    6·1 answer
  • The population of Riverdale is 6,735 ?
    9·2 answers
  • How many solutions does the following equation have? 4x+x+3=4x *
    13·1 answer
  • 573,097 rounded to the nearest 100,000
    13·1 answer
  • Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, t
    10·1 answer
  • (x + 1)(x - 1)<br> I dont understand this could any1 help me
    8·2 answers
  • A student wants to use evidence from "The Treasure of Lemon Brown" to support the idea that Greg becomes more
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!