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
Liula [17]
3 years ago
5

the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^

-1(x)?
Mathematics
1 answer:
Marianna [84]3 years ago
8 0

9514 1404 393

Answer:

  • domain: x < -2
  • range: y > 1

Step-by-step explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

__

The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.

You might be interested in
Analyzing a Graphical Relationship
Step2247 [10]

Answer: A : decreasing B : constant C: increasing D: Constant

Step-by-step explanation:

6 0
4 years ago
Figure A is dilated by a scale factor of 1 to form Figure B.
son4ous [18]

Answer:

  • C. 8 inches

Step-by-step explanation:

Note. The original question is attached.

<u>Solution:</u>

Scale factor is 1/2 and the corresponding side has a length of 16 inches.

<u>The value of x is:</u>

  • x = 1/2*16 = 8 inches

Correct option is C

6 0
3 years ago
Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°
mote1985 [20]

Answer:

sin(2\theta)=\frac{\sqrt{35} }{18}

Step-by-step explanation:

Recall the formula for the sine of the double angle:

sin(2\theta)=2*sin(\theta)*cos(\theta)

we know that cos(\theta)=\frac{3}{18}, and that \theta is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what sin(\theta) is:

cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }

With this information, we can now complete the value of the sine of the double angle requested:

sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}

6 0
3 years ago
What is the greatest common factor of 18 and 54?
Shtirlitz [24]

Answer:

18

Step-by-step explanation:

18=2×3×3

54=2×3×3×3

gcd=2×3×3=18

3 0
3 years ago
Find the x-coordinate of the vertex of the graph of the equation y=-3x^2+6x+2
Ivanshal [37]
Consider, pls, this solution:
according to the equation y= -3x²+6x+2, where a=-3, b=6 and c=2, and the rule x₀= -b/(2a):
<u>x₀=</u>-6/(-6)<u>=1</u>.
For more info see the attached graph.

4 0
3 years ago
Other questions:
  • HELP PLS!!! Complete the following statement
    10·1 answer
  • A flower store sold 2,450 flowers in a month. If 60% of the flowers the store sold were roses, how many roses did the store sell
    11·2 answers
  • A laboratory scale is known to have a standard deviation (sigma) or 0.001 g in repeated weighings. Scale readings in repeated we
    8·1 answer
  • Which expression is equivalent to 4(6x + 2) - 5(2x - 1)?
    15·1 answer
  • Based on this data, what is a reasonable estimate of the probability that Todd runs more than 15 km tomorrow?
    10·1 answer
  • Guysss I need help. What's the degree of a 90 degree angle
    11·2 answers
  • I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!!!!!
    15·2 answers
  • Help!!!!!! <br><br>complete the problem involving the linear equation. ​
    8·1 answer
  • For geometry:(<br><br> i’ll give a brainist!!!
    6·1 answer
  • Solve: 4 x 11 + 5 x 28 + 4
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!