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
Ivahew [28]
3 years ago
12

Which statement is true about the function f(x)=-√-x

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer: D.The domain and range of the function are the same.


Step-by-step explanation: Given function f(x)=-√-x.

The given function is a square root function and we have minus sign in front of x inside square root.

A square root always defined for positive values or 0.

In order to get a positive number or 0 inside square root, let us solve the inequality:

-x\geq 0

On dividing both sides by -1, the inequality sign would get flip and we get

<h3>Domain: x \leq 0.</h3>

We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.

<h3>Therefore, range would also be :x \leq 0..</h3><h3>Therefore, correct option is D option.</h3>
You might be interested in
What is 549,423 rounded to the nearest thousand
Lubov Fominskaja [6]
The answer is 549,000
6 0
3 years ago
If sin A = 3/8, find the value of cosec A - sec A.​
alexira [117]

Answer:

\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

Step by step explanation:

\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies  1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\

\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}

\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

6 0
2 years ago
Cos(2α)*sin(α-β)-cos(β-α)*sin(2α)
Hunter-Best [27]

Answer:

Step-by-step explanation:

cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)

[cos (-x)=cos x]

sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)

=sin {-(α+β)}

=-sin (α+β)

6 0
2 years ago
Solve the system.<br> x = y +2 <br> 3x = 6 (y + 2)
Zielflug [23.3K]

Answer:

(x , y)=(0 , -2)

Step-by-step explanation:

5 0
1 year ago
Find the 50th term of the sequence 5, -2, -9, -16
VARVARA [1.3K]

Answer:

-35

Step-by-step explanation:

it is going backwards by -7 so 5x-7 = -35

6 0
3 years ago
Other questions:
  • Which expression is equivalent to the expression below? g+g+g+g+g+g
    13·2 answers
  • PLZ ANSWER QUICK!!
    9·1 answer
  • Which of these has the same answer as the problem in the box? [3 + 4 +5]
    8·2 answers
  • Suppose a runner completes one lap around a 400-m track in a time of 50 s. calculate the magnitude of the average velocity of th
    10·2 answers
  • Glenn is collecting aluminum cans to earn money. He has 5 bags that hold an average of 300 cans each. If he gets 2.00 for every
    10·1 answer
  • URGENT (I only need a couple ? Correct to pass pls help). Divide (2304 – 5.33 +632 – 5x + 2) by (st – 2).
    8·1 answer
  • A glass company is repairing a window in the shape of an equilateral triangle. If the length of one side of the triangle is 17 i
    6·1 answer
  • Is the triangle below a right, acute, or an obtuse triangle? <br> PLEASEEEE HELP ME OUT BRO
    13·1 answer
  • Find the side length of a cube with a volume of 804 m,
    9·1 answer
  • Which is the quadratic equation in standard form which has roots of 7 and 10?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!