 1.2.1E: Find the domains and ranges of ƒ, g, ƒ + g, and ƒ · g.
 1.2.2E: Find the domains and ranges of ƒ, g, ƒ + g,and ƒ · g.
 1.2.3E: Find the domains and ranges of ƒ, g, f/g, and g/f.ƒ(x) = 2, g(x) = ...
 1.2.4E: Find the domains and ranges of ƒ, g, f/g, and g/f.ƒ(x) = 1,
 1.2.5E: If ƒ(x)= x + 5 and g(x) = x2  3, find the following.a. ƒ(g(0)) b. ...
 1.2.6E: If and , find the following.a. ƒ(g(1/2))b. g(ƒ(1/2))c. ƒ(g(x)) d. g...
 1.2.7E: Write a formula for ƒ ° g ° h.ƒ(x) = x + 1, g(x) = 3x, h(x) = 4  x
 1.2.8E: Write a formula for ƒ ° g ° h.ƒ(x) = 3x + 4, g(x)= 2x  1, h(x) = x2
 1.2.9E: Write a formula for ƒ ° g ° h.
 1.2.10E:
 1.2.11E: Let f(x)= x  3, g(x) = h(x) = x3 and j(x) = 2x. Express each of th...
 1.2.12E: Let f(x)= x  3, g(x) = h(x) = x3 and j(x) = 2x. Express each of th...
 1.2.13E: Copy and complete the following table.
 1.2.14E: Copy and complete the following table.
 1.2.15E: Evaluate each expression using the given table of values a. f(g(–1)...
 1.2.16E: Evaluate each expression using the functions a. f (g(0))b. g(f(3))c...
 1.2.17E: (a) write formulas for ƒ° g and g° ƒ and find the (b) domain and (c...
 1.2.18E: (a) write formulas for ƒ° g and g° ƒ and find the (b) domain and (c...
 1.2.19E: Let Find a function y = g(x) so that (ƒ ° g)(x) = x.
 1.2.20E: Let f(x) = 2x3 – 4. Find a function y = g(x) so that (ƒ ° g)(x) = x...
 1.2.21E: The accompanying figure shows the graph of y = x2 shifted to two n...
 1.2.22E: The accompanying figure shows the graph of y = x2shifted to two new...
 1.2.23E: Match the equations listed in parts (a)–(d) to the graphs in the ac...
 1.2.24E: The accompanying figure shows the graph of y = –x2 shifted to four ...
 1.2.25E: Tell how many units and in what directions the graphs of the given ...
 1.2.26E: Tell how many units and in what directions the graphs of the given ...
 1.2.27E: Tell how many units and in what directions the graphs of the given ...
 1.2.28E: Tell how many units and in what directions the graphs of the given ...
 1.2.29E: Tell how many units and in what directions the graphs of the given ...
 1.2.30E: Tell how many units and in what directions the graphs of the given ...
 1.2.31E: Tell how many units and in what directions the graphs of the given ...
 1.2.32E: Tell how many units and in what directions the graphs of the given ...
 1.2.33E: Tell how many units and in what directions the graphs of the given ...
 1.2.34E: Tell how many units and in what directions the graphs of the given ...
 1.2.35E: Graph the functions.
 1.2.36E: Graph the functions.
 1.2.37E: Graph the functions.
 1.2.38E: Graph the functions.
 1.2.39E: Graph the functions.
 1.2.40E: Graph the functions.
 1.2.41E: Graph the functions.
 1.2.42E: Graph the functions.
 1.2.43E: Graph the functions.
 1.2.44E: Graph the functions.
 1.2.45E: Graph the functions.
 1.2.46E: Graph the functions.
 1.2.47E: Graph the functions.
 1.2.48E: Graph the functions.
 1.2.49E: Graph the functions.
 1.2.50E: Graph the functions.
 1.2.51E: Graph the functions.
 1.2.52E: Graph the functions.
 1.2.53E: Graph the functions.
 1.2.54E: Graph the functions.
 1.2.55E: The accompanying figure shows the graph of a function ƒ(x) with dom...
 1.2.56E: The accompanying figure shows the graph of a function g(t) with dom...
 1.2.57E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.58E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.59E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.60E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.61E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.62E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.63E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.64E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.65E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.66E: Exercises 57–66 tell by what factor and direction the graphs of the...
 1.2.67E: Graph each function, not by plotting points, but by starting with t...
 1.2.68E: Graph each function, not by plotting points, but by starting with t...
 1.2.69E: Graph each function, not by plotting points, but by starting with t...
 1.2.70E: Graph each function, not by plotting points, but by starting with t...
 1.2.71E: Graph each function, not by plotting points, but by starting with t...
 1.2.72E: Graph each function, not by plotting points, but by starting with t...
 1.2.73E: Graph each function, not by plotting points, but by starting with t...
 1.2.74E: Graph each function, not by plotting points, but by starting with t...
 1.2.75E: Graph the function
 1.2.76E: Graph the function
 1.2.77E: Assume that ƒ is an even function, g is an odd function, and both ƒ...
 1.2.78E: Can a function be both even and odd? Give reasons for your answer.
 1.2.79E: (Continuation of Example 1.) Graph the functions together with thei...
 1.2.80E: Let f(x) = x  7and g(x) = x2. Graph ƒ and g together with ƒ ° g an...
Solutions for Chapter 1.2: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 1.2
Get Full SolutionsThomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.2 includes 80 full stepbystep solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Since 80 problems in chapter 1.2 have been answered, more than 157990 students have viewed full stepbystep solutions from this chapter.

Annual percentage rate (APR)
The annual interest rate

Blocking
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Differentiable at x = a
ƒ'(a) exists

Equilibrium price
See Equilibrium point.

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Real number line
A horizontal line that represents the set of real numbers.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Scalar
A real number.

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

Statistic
A number that measures a quantitative variable for a sample from a population.

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Unit vector
Vector of length 1.

Vertical line
x = a.

Vertical line test
A test for determining whether a graph is a function.

xyplane
The points x, y, 0 in Cartesian space.