Objective 3: Find the Inverse of a Function a. Show that f ( x ) = 2 x − 3 defines a one-to-one function. b. Write an equation for f − 1 ( x ) . c. Graph y = f ( x ) and y = f − 1 ( x ) on the same coordinate system .
Objective 3: Find the Inverse of a Function a. Show that f ( x ) = 2 x − 3 defines a one-to-one function. b. Write an equation for f − 1 ( x ) . c. Graph y = f ( x ) and y = f − 1 ( x ) on the same coordinate system .
Solution Summary: The author explains how the function f(x)=2x-3 defines a one to one function.
a. Show that
f
(
x
)
=
2
x
−
3
defines a one-to-one function.
b. Write an equation for
f
−
1
(
x
)
.
c. Graph
y
=
f
(
x
)
and
y
=
f
−
1
(
x
)
on the same coordinate system.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY