-
Home
- Precalculus
- Polynomial and rational functions
- Inverses and radical functions
Graphical
For the following exercises, find the inverse of the function and graph both the function and its inverse.
For the following exercises, use a graph to help determine the domain of the functions.
Technology
For the following exercises, use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with
y -coordinates given.
Extensions
For the following exercises, find the inverse of the functions with
positive real numbers.
Real-world applications
For the following exercises, determine the function described and then use it to answer the question.
An object dropped from a height of 200 meters has a height,
in meters after
seconds have lapsed, such that
Express
as a function of height,
and find the time to reach a height of 50 meters.
5.53 seconds
Got questions? Get instant answers now!
An object dropped from a height of 600 feet has a height,
in feet after
seconds have elapsed, such that
Express
as a function of height
and find the time to reach a height of 400 feet.
Got questions? Get instant answers now!
The volume,
of a sphere in terms of its radius,
is given by
Express
as a function of
and find the radius of a sphere with volume of 200 cubic feet.
3.63 feet
Got questions? Get instant answers now!
The surface area,
of a sphere in terms of its radius,
is given by
Express
as a function of
and find the radius of a sphere with a surface area of 1000 square inches.
Got questions? Get instant answers now!
A container holds 100 ml of a solution that is 25 ml acid. If
ml of a solution that is 60% acid is added, the function
gives the concentration,
as a function of the number of ml added,
Express
as a function of
and determine the number of mL that need to be added to have a solution that is 50% acid.
250 mL
Got questions? Get instant answers now!
The period
in seconds, of a simple pendulum as a function of its length
in feet, is given by
. Express
as a function of
and determine the length of a pendulum with period of 2 seconds.
Got questions? Get instant answers now!
The volume of a cylinder ,
in terms of radius,
and height,
is given by
If a cylinder has a height of 6 meters, express the radius as a function of
and find the radius of a cylinder with volume of 300 cubic meters.
3.99 meters
Got questions? Get instant answers now!
The surface area,
of a cylinder in terms of its radius,
and height,
is given by
If the height of the cylinder is 4 feet, express the radius as a function of
and find the radius if the surface area is 200 square feet.
Got questions? Get instant answers now!
The volume of a right circular cone,
in terms of its radius,
and its height,
is given by
Express
in terms of
if the height of the cone is 12 feet and find the radius of a cone with volume of 50 cubic inches.
1.99 inches
Got questions? Get instant answers now!
Questions & Answers
the study of living organisms and their interactions with one another and their environments
AI-Robot
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
Google Play and the Google Play logo are trademarks of Google Inc.