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
Serga [27]
3 years ago
8

The domain of both

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

The domain of function h(x) is set of all real numbers.

Domain: (-∞,∞)

Step-by-step explanation:

Given:

f(x)=x-6

g(x)=x+6

the domain of both the above functions is all real number.

To find domain of :

h(x)=f(x)g(x)

Substituting functions f(x) and g(x) to find h(x)

h(x)=(x-6)(x+6)

The product can be written as difference of squares. [a^2-b^2=(a+b)(a-b)]

∴ h(x)=x^2-36

The degree of the function h(x) is 2 as the exponent of leading term x^2 is 2. Thus its a quadratic equation.

For any quadratic equation the domain is set of all real numbers.  

So Domain of h(x) is (-∞,∞)

You might be interested in
What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
When representing a frequency distribution with a bar chart, which of these
gogolik [260]
The answer would be C
7 0
3 years ago
Complete the proof of the Chinese remainder theorem by showing that the simultaneous solution of a system of linear congruences
Semenov [28]

Answer:

Sorry I don`t know  this

Step-by-step explanation:

I wish I could help you with it

7 0
3 years ago
6.a rectangular prism has a volume of 1,500 cubic centimeters.It has length of 34 centimeters and a width of 22 centimeters.Whic
kodGreya [7K]
6. C. 748h = 1,500, because 34 x 22 = 748 x height 'h'
7. B. 59 + x, because sum means add
5 0
3 years ago
Read 2 more answers
Can some one do this and help me out
alexira [117]

Answer:

<h2><em><u>4</u></em></h2>

Step-by-step explanation:

Numbers less than 10 are = 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Not multiple of 2 = 3, 5, 7, and 9

Composite number = 4

I eliminated the numbers to get the answer.

Hope this helped!

5 0
3 years ago
Other questions:
  • Evaluate r(x) = −0.21x^3 + x^2 − 8.1x − 3 for x = −1 and x = 2.
    5·1 answer
  • Ircle the letter of the correct digit. in the measurement 43.52 cm, which digit is the most uncertain?
    11·1 answer
  • A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is t
    14·1 answer
  • Which of these is an example of driving at an average rate of 20 miles per hour?
    9·1 answer
  • Slope is 9 and (−5, −1) is on the line.<br><br> The equation of the line in point-slope form is:
    10·1 answer
  • Find the circumference of the circle.<br><br> please help me baby
    12·2 answers
  • 10.00 for movie tickets ​
    10·2 answers
  • What is the domain of the function f(x) = square root x-9+5?
    15·1 answer
  • Quick i dont have time
    9·1 answer
  • Geometry Pythagorean theorem
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!