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
antoniya [11.8K]
3 years ago
6

What are the domain and range of the function f(x)=sqrt(x-7) +9

Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0

Answer:

Domain : { x ∈ R : x ≥ 7 }

Range: { f ∈ R : f ≥ 9 }

Step-by-step explanation:

Given function is:

f(x) = \sqrt{x-7} + 9

Firstly find the domain of the given function.

Domain is set of all real x's values where given function is defined.

In other words, we exclude all the x's values from all real values where function is undefined.

In case of square root function, inside the square root given expression must be greater or equal to zero.

So,

x - 7 ≥ 0

Solve for x

x ≥ 7

So, domain is all real x when x ≥ 7.

Now find the Range of this function.

Range is set of all output values.

So, lowest value of out put is 9 when x is 7

and maximum value of the function is infinite.

So,

Range is all real f's values when f ≥ 9.

GenaCL600 [577]3 years ago
5 0

Domain: x ≥ 7

Range (7,9)

You might be interested in
Can you please answer
BabaBlast [244]
I believe it should be A.
7 0
2 years ago
Is 0.069 less than 0.07
Nuetrik [128]
Yes, 0.069 is less than 0.07~

First, we compare the "one" place: 0 = 0.

Second, we compare the "tenth" place: 0 = 0.

Next, we compare the "hundredth" place: 6 < 7.

Because 6 < 7, 0.069 < 0.07 as a result~
6 0
3 years ago
Two non-common sides of adjacent supplementary angles form a _____ angle.
mel-nik [20]

Answer:

C. straight

Step-by-step explanation:

 A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

If two angles form a linear pair, the angles are supplementary.

A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

In the figure given in attachment, AB and BC are two non common sides of ∠ABD and ∠DBC.

∠1 and ∠2 form a linear pair.

The line through points A, B and C is a straight line.

∠1 and ∠2 are supplementary.

Thus two non-common sides of adjacent supplementary angles form a <u>straight</u> angle.

8 0
3 years ago
What is the equation of this line in standard form
Yuri [45]

Line joining (-3, -1) and (1/2, 2)

Point point form for a line is

(c-a)(y-b) = (d-b)(x-a)

(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)

(7/2)(y+1)=3(x+3)

7(y+1)=6(x+3)

7 - 6(3) = 6x - 7y

6x - 7y = -11

Answer: second choice, 6x - 7y = -11

3 0
3 years ago
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9
Triss [41]
To <span>transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)</span>²=-71/36

the answer is:
1/36(6x-1)²=-71/36
7 0
3 years ago
Other questions:
  • Suppose the demand for a certain item is given by:
    8·1 answer
  • How do you solve x-6&gt;7=
    9·1 answer
  • A ball is thrown into the air with an initial upwards velocity of 60ft/s. Its height (h) in feet after t secons is given by the
    14·1 answer
  • caroline bought 3/5 of a yard of purple fabric and 1/3 of a yard of yellow fabric. how much more purple fabric than yellow fabri
    8·1 answer
  • What is the value of x+2, when x = 2 ?<br> I
    15·2 answers
  • Which expression forms an equation with the given expression? 24 – 5 • 2 = ___________ A. (5 + 3) • 2 B. 2(6 + 1) C. 5 • 8 – 2 D
    12·2 answers
  • I'm having trouble solving this problem help asap
    8·1 answer
  • Find the value of x. Express your answer in simplest radical form.Show work please ​
    8·1 answer
  • Write the following without using absolute value:<br><br> | <img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexFormula1" t
    6·2 answers
  • Solve the equation 2x^2-9x=0 by factoring
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!