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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.

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1. x + 2x - 1 = 38<br> Inverse operation
Lena [83]

Answer:

x=13

Step-by-step explanation:

First, you add the x's together: 2x+x=3x

Now you have:3x-1=38

Add 1 to both sides: 3x=39

1 cancel on the left side of the equation

Divide 3 on both sides: x=39/3

3 cancels on the left side and 39 divided by 3 is 13:

x=13

Hope this helps!

6 0
3 years ago
Evaluate this expression for x=-5 and y=-5​
Talja [164]

Answer:

x - 2y=5

Step-by-step explanation:

Given

x = -5; y=-5

x - 2y --- missing from question

Required

Evaluate

We have:

x - 2y

Substitute for x and y

x - 2y=-5 - 2*-5

x - 2y=-5 +10

x - 2y=5

3 0
3 years ago
Which title best completes the organizational chart of Maryland government
Misha Larkins [42]

A title which best completes the organizational chart of Maryland government is: A. Voters of Maryland Legislative branch.

<h3>What is an organizational structure?</h3>

An organizational structure can be defined as a strategic process that involves the division of a business firm or an organization into multiple functional units.

<h3>What is an organizational chart?</h3>

An organizational chart is also referred to as an organogram and it can be defined as a diagram that is used to graphically represent the hierarchical structure of a business firm or an organization and the relationships of all the jobs or positions within it.

<h3>The types of an organizational chart.</h3>

In Business management, there are four (4) main types of organizational chart and these include the following:

  • Functional top-down chart
  • Flat chart
  • Divisional chart
  • Matrix chart

In this scenario, we can infer and logically deduce that a title which best completes the organizational chart of Maryland government is "Voters of Maryland Legislative branch."

Read more on organizational chart here: brainly.com/question/1078082

#SPJ1

Complete Question:

Which title best completes the organizational chart of Maryland government?

A. Voters of Maryland Legislative branch

B. Voters of Maryland Judicial branch

C. Voters of Maryland Judges branch

D. Voters of Maryland Courts branch

7 0
2 years ago
If f(x) = 6x - 4, what is f(x) when x = 8?<br> оооо
Drupady [299]

Answer:

f(x)=44

Step-by-step explanation:

Replace the value of x with 8:

f(x)=6(8)-4\\ \\ 6\times8= 48\\ \\ 48 -4 =44\\ \\ f(x)=44

3 0
3 years ago
Is (2,-3) a solution for the inequality y&lt;2x-5?
san4es73 [151]

Answer: no

Step-by-step explanation:

6 0
3 years ago
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