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
vlada-n [284]
3 years ago
11

If a(x) = 3x + 1 and b(x)= √x-4 , what is the domain of (b*a)(x)

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0
A(x) = 3x + 1
b(x) = √(x-4)

Therefore
(b \circ a) (x) = \sqrt{3x+1-4} =\sqrt{3x-3}
This composition of functions is only defined as a real number when x≥0.
Therefore its domain is x = [1,∞]

Answer: [1,∞]
tresset_1 [31]3 years ago
4 0

Answer: The correct option is C. The domain of  (b\circ a)(x)  is  [0,\infty).

Explanation:

It is given that,

a(x)=3x+1

b(x)=\sqrt{x-4}

First we have to find the composite function (b\circ a)(x).

(b\circ a)(x)=b(a(x))

(b\circ a)(x)=b(3x+1)

(b\circ a)(x)=\sqrt{3x+1-4}

(b\circ a)(x)=\sqrt{3x-3}

We know that a root function is defined for only positive values therefore the composite function is defined if,

3x-3\geq 0

3x\geq 3

x\geq 1

The function is defined for all the values of x which are greater than or equal to 1. Therefore the domain of  (b\circ a)(x)  is  [0,\infty) and option C is correct.

You might be interested in
Which shows another way to write 4 to the sixth power?
geniusboy [140]

A) 6 x 6 x 6 x 6

Hope this Helps!!

3 0
3 years ago
Read 2 more answers
Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a​ real-world situati
mina [271]

Using the function concept, it is found that:

  • Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, <u>one value of the input can be related to only one value of the output</u>.

  • In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, <u>for each value of x, there is only one value of y</u>, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at brainly.com/question/12463448

5 0
2 years ago
A checking account had the following activity over a 2-day period : a withdrawal of $35.47, a deposit of $92.63, and a service c
madam [21]
The answer would be $119.10

174.13-90.50=83.63
83.63+35.47=119.1
8 0
2 years ago
The estimated measurements of the objects are shown below.
olga2289 [7]

The scientific notation is a method that scientists use to easily handle very large numbers or very small numbers. As an example, instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9 in scientific notation. The number of places the decimal point got moved becomes the exponent of the number 10. When the movement is from left to right, the exponent is negative (for very small numbers). When it is right to left, the exponent is positive (for very large numbers).

 

Therefore writing estimated measurements in scientific notation:

 

length of a grain of salt : 0.0002 centimeters = 2 x 10-4 centimeters

width of a key ring : 0.02 centimeters = 2 x 10-2 centimeters

6 0
3 years ago
Tomnhas read 11 pages of a 215 page book he will read 6 pages each day until he fi ishes the book which equation can be used to
Ierofanga [76]

Answer: 34 days

Step-by-step explanation:

To find out the amount of pages he needs to read each day at the rate of 6 pages/day is 204/6. (we divide 204 by 6 because that is 215-11, since he already read 11 pages) this is 34

5 0
2 years ago
Other questions:
  • The function f(x) = 2.54 can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the
    11·1 answer
  • frankie can plant a garden by herself in 10 hours. when her son Garyn helps her, the total time it takes them to plant the garde
    7·1 answer
  • Find the slope of the line whose equation is 8y = 4 - 3x.
    10·2 answers
  • Find the distance between the two points. Enter the number that goes beneath the radical symbol. (PICTURE ABOVE]​
    6·1 answer
  • What is the midpoint of a line segment at the origin (0,0) and its end points at (-5,-12)
    12·1 answer
  • How do you do these two questions?
    15·1 answer
  • The following data shows rainfall in a forest, in inches, on consecutive days of a month:
    11·1 answer
  • What ratio is equivalent to 1/7
    14·2 answers
  • HELP!!!!! Find the volume of the cone.
    11·2 answers
  • The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!