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 49-52: 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 − 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 49-52: 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 − 1
Solution Summary: The author calculates the equation of f-1(x) with a function, and solves it for the value of y.
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 49-52: 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
−
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.
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