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
Kipish [7]
4 years ago
13

If f^-1(y) is the inverse of f(x) which statements must be true?

Physics
1 answer:
Salsk061 [2.6K]4 years ago
6 0
Let us assume f(x) = 2x - 5
f⁻¹(x) = (x + 5)/2
f(f⁻¹(x)) = 2((x + 5)/2) - 5 = x
f⁻¹(f(x)) = (2x - 5 + 5)/2 = x
The domain of a function is the range of its inverse and vice versa
The range of a function is the domain of its inverse and vice versa
Therefore, statements A, B, D and E are true
You might be interested in
I'm a car how does an air bag minimize the force acting on a person during a collision?
Sedaia [141]
The answer is B.It decreases the change of the momentum of the person
3 0
3 years ago
Read 2 more answers
Name 5 machine principles​
lidiya [134]

The Wheel & Axle. The wheel has always been considered a major invention in the history of mankind

The Inclined Plane

The Wedge

The Pulley

The Screw

3 0
4 years ago
An escalator carries you from one level to the next in an airport terminal. the upper level is 4.3 m above the lower level, and
fomenos
<span>2700 Joules The important value here is how high the escalator moved you. The actual length doesn't matter. All it affects is how fast the work is performed upon you. So the escalator lifted 64 kg against gravity for 4.3m. So: 4.3 m * 9.8 m/s^2 * 64 kg = 2696.96 kg*m^2/s^2 = 2696.96 Joules Rounding to 2 significant figures gives 2700 Joules</span>
6 0
3 years ago
In an unweathered sample of igneous rock, the ratio of an unstable isotope to its stable daughter isotope is 1:15. If no daughte
svlad2 [7]

Answer:

200 million years

Explanation:

The equation that describes the decay of a radioactive isotope is

N(t)=N_0 (\frac{1}{2})^{\frac{t}{t_{1/2}}}

where

N(t) is the amount of radioactive isotope left at time t

N_0 is the initial amount of isotope

t_{1/2} is the half-life of the sample

In this problem, the ratio between unstable isotope and daughter isotope is 1:15; this means that

\frac{N(t)}{N_0}=\frac{1}{16}

Because the "total proportion" of original sample was 1+15=16.

Also we know that the half-life is

t_{1/2}=50\cdot 10^6 y

So we can re-arrange the equation to find t, the age of the rock:

t=t_{1/2} log_{0.5}(\frac{N}{N_0})=(50\cdot 10^6)log_{0.5}(\frac{1}{16})=200\cdot 10^6 y

So, 200 million years.

6 0
4 years ago
Advantages and Disadvantages of a clinical thermometer​
lidiya [134]

Answer:

Explanation:Advatages

1..Its takes precise reading accurate

2. it is moveable because of its small weight

3.It is easy to read and can be kept inside water

Disadvantages

1. It breaks easily because of its small size

2. If broken there can be risk of exposure to mercury chemicals.

4 0
4 years ago
Other questions:
  • During a transit, a
    10·1 answer
  • Can you build up a resistance to motion sickness
    5·1 answer
  • In one type of mass spectrometer, ions having the same velocity move through a uniform magnetic field. The spectrometer is being
    6·1 answer
  • At what altitude above the earth's surface would the acceleration due to gravity be 4.9 m/s^2? Assume the mean radius of the ear
    14·1 answer
  • What type of lava is produced at a divergent plate boundary?
    15·1 answer
  • What is capacitance?
    5·1 answer
  • Help needed. The mass of an object times its velocity is the blank of the object ?
    14·2 answers
  • Which of the following energies defines energy stored inside a spring?
    7·1 answer
  • Help answer all for prize
    7·1 answer
  • How to calculate overall heat transfer coefficient for cross flow Air Preheater as need to design Air preheater?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!