In Exercises 39-52, a. Find an equation for f − 1 ( x ) . b. Graph f and f − 1 in the same rectangular coordinate system . c. Use interval notation to give the domain and the range of f and f − 1 . (Hint for Exercises -19-52: To solve for a variable involving an nth root, raise both sides of the equation to the nth power: ( y n ) n = y . ) f ( x ) = x 3 + 1
In Exercises 39-52, a. Find an equation for f − 1 ( x ) . b. Graph f and f − 1 in the same rectangular coordinate system . c. Use interval notation to give the domain and the range of f and f − 1 . (Hint for Exercises -19-52: To solve for a variable involving an nth root, raise both sides of the equation to the nth power: ( y n ) n = y . ) f ( x ) = x 3 + 1
Solution Summary: The author explains how to calculate the equation of f-1(x).
b.Graph f and
f
−
1
in the same rectangular coordinate system.
c.Use interval notation to give the domain and the range of f and
f
−
1
.
(Hint for Exercises -19-52: To solve for a variable involving an nth root, raise both sides of the equation to the nth power:
(
y
n
)
n
=
y
.
)
f
(
x
)
=
x
3
+
1
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.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
use Integration by Parts to derive 12.6.1
Chapter 1 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY