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.
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
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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