In problems 43 − 54 , the function f is one-to-one. ( a ) Find its inverse function f − 1 and check your answer. ( b ) Find the domain and range of f and f − 1 . ( c ) Graph f , f − 1 , and y = x on the same coordinate axes. f ( x ) = x 2 5 − 4 , x ≥ 0
In problems 43 − 54 , the function f is one-to-one. ( a ) Find its inverse function f − 1 and check your answer. ( b ) Find the domain and range of f and f − 1 . ( c ) Graph f , f − 1 , and y = x on the same coordinate axes. f ( x ) = x 2 5 − 4 , x ≥ 0
Solution Summary: The author explains how to determine the inverse function f-1.
In problems
43
−
54
,
the function
f
is one-to-one.
(
a
)
Find its inverse function
f
−
1
and check your answer.
(
b
)
Find the domain and range of
f
and
f
−
1
.
(
c
)
Graph
f
,
f
−
1
,
and
y
=
x
on the same coordinate axes.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
Chapter 4 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
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