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 . f ( x ) = ( x − 1 ) 2 , 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 . f ( x ) = ( x − 1 ) 2 , x ≥ 1
Solution Summary: The author calculates the equation of the inverse function f-1(x)=sqrtx
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
.
f
(
x
)
=
(
x
−
1
)
2
,
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.
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
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