 3.5.1: In Exercises 14, findand their domains.f 1x2 3x 2 g1x2 x3
 3.5.2: In Exercises 14, findand their domains.f 1x2 x2 2 g1x2 4x 7
 3.5.3: In Exercises 14, findand their domains.f 1x2 1x g1x2 x2 2x 5
 3.5.4: In Exercises 14, findand their domains.f 1x2 2x g1x2 x2 1
 3.5.5: In Exercises 57, findafgb(x), and agf (fg)(x) ,f 1x2 3x 2 g1x2 x3
 3.5.6: In Exercises 57, findafgb(x), and agf (fg)(x), f 1x2 4x2 x4g1x2 2x2 4
 3.5.7: In Exercises 57, findafgb(x), and agf (fg)(x),f 1x2 2x2 1 g1x2 2x 1
 3.5.8: In Exercises 811, find the domains of fg andf 1x2 x2 1 g1x2 1x
 3.5.9: In Exercises 811, find the domains of fg andf 1x2 x 2 g1x2 1x 2
 3.5.10: In Exercises 811, find the domains of fg andf 1x2 24 x2g1x2 23x 4
 3.5.11: In Exercises 811, find the domains of fg andf 1x2 3x2 x4 2 g1x2 4x 3
 3.5.12: In Exercises 1214, find andf 1x2 3x 2 g1x2 x2
 3.5.13: In Exercises 1214, find andf 1x2 0x 2 0 g1x2 x2
 3.5.14: In Exercises 1214, find andf 1x2 x2 1 g1x2 2x
 3.5.15: In Exercises 1518, find the indicated values, where
 3.5.16: In Exercises 1518, find the indicated values, where
 3.5.17: In Exercises 1518, find the indicated values, where
 3.5.18: In Exercises 1518, find the indicated values, where
 3.5.19: In Exercises 1922, find the rule of the functionand its domain and ...
 3.5.20: In Exercises 1922, find the rule of the functionand its domain and ...
 3.5.21: In Exercises 1922, find the rule of the functionand its domain and ...
 3.5.22: In Exercises 1922, find the rule of the functionand its domain and ...
 3.5.23: In Exercises 2326, find the rules of the functions ffand
 3.5.24: In Exercises 2326, find the rules of the functions ffand
 3.5.25: In Exercises 2326, find the rules of the functions ffand
 3.5.26: In Exercises 2326, find the rules of the functions ffand
 3.5.27: In Exercises 2730, verify that andfor the given functions f and g.
 3.5.28: In Exercises 2730, verify that andfor the given functions f and g.
 3.5.29: In Exercises 2730, verify that andfor the given functions f and g.
 3.5.30: In Exercises 2730, verify that andfor the given functions f and g.
 3.5.31: In Exercises 3136, write the given function as the composite of tw...
 3.5.32: In Exercises 3136, write the given function as the composite of tw...
 3.5.33: In Exercises 3136, write the given function as the composite of tw...
 3.5.34: In Exercises 3136, write the given function as the composite of tw...
 3.5.35: In Exercises 3136, write the given function as the composite of tw...
 3.5.36: In Exercises 3136, write the given function as the composite of tw...
 3.5.37: In Exercises 37 and 38, graph both and onthe same screen. Use the g...
 3.5.38: In Exercises 37 and 38, graph both and onthe same screen. Use the g...
 3.5.39: For Exercises 39 42, complete the given tables byusing the values o...
 3.5.40: For Exercises 39 42, complete the given tables byusing the values o...
 3.5.41: For Exercises 39 42, complete the given tables byusing the values o...
 3.5.42: For Exercises 39 42, complete the given tables byusing the values o...
 3.5.43: In Exercises 4346, let Graph the function fand the composite functi...
 3.5.44: In Exercises 4346, let Graph the function fand the composite functi...
 3.5.45: In Exercises 4346, let Graph the function fand the composite functi...
 3.5.46: In Exercises 4346, let Graph the function fand the composite functi...
 3.5.47: Use the piecewise definition of absolute valueto explain why the fo...
 3.5.48: In Exercises 4852, let Graph the function fand the composite functi...
 3.5.49: In Exercises 4852, let Graph the function fand the composite functi...
 3.5.50: In Exercises 4852, let Graph the function fand the composite functi...
 3.5.51: In Exercises 4852, let Graph the function fand the composite functi...
 3.5.52: In Exercises 4852, let Graph the function fand the composite functi...
 3.5.53: If f is any function and I is the identity functionwhat are and
 3.5.54: In a laboratory culture, the number N(d) ofbacteria (in thousands) ...
 3.5.55: Suppose that a manufacturer produces ntelephones. The unit cost for...
 3.5.56: As a weather balloon is inflated, its radiusincreases at the rate o...
 3.5.57: Express the surface area of the weather balloon inExercise 57 as a ...
 3.5.58: Brandon, who is 6 ft tall, walks away from astreetlight that is 15 ...
 3.5.59: Brandon, who is 6 ft tall, walks away from astreetlight that is 15 ...
 3.5.60: A waterfilled balloon is dropped from a window120 ft above the gro...
 3.5.61: Critical Thinking Find a function f (other than theidentity functio...
 3.5.62: If find the domain of the composite function f 1x2 11 xand g1x2 2x,
 3.5.63: Find two functions f and g such that neither is the identity functi...
Solutions for Chapter 3.5: Operations on Functions
Full solutions for Precalculus  1st Edition
ISBN: 9780030416477
Solutions for Chapter 3.5: Operations on Functions
Get Full SolutionsChapter 3.5: Operations on Functions includes 63 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions. Since 63 problems in chapter 3.5: Operations on Functions have been answered, more than 26306 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780030416477.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Chord of a conic
A line segment with endpoints on the conic

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Logarithmic form
An equation written with logarithms instead of exponents

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

nth root
See Principal nth root

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Positive linear correlation
See Linear correlation.

Quartic regression
A procedure for fitting a quartic function to a set of data.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Solve an equation or inequality
To find all solutions of the equation or inequality

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Sum of an infinite series
See Convergence of a series

Unit ratio
See Conversion factor.

Vertical line
x = a.