 1.5.1: (a) What is a onetoone function? (b) How can you tell from the gr...
 1.5.2: (a) Suppose f is a onetoone function with domain A and range B. H...
 1.5.3: A function is given by a table of values, a graph, a formula, or a ...
 1.5.4: A function is given by a table of values, a graph, a formula, or a ...
 1.5.5: A function is given by a table of values, a graph, a formula, or a ...
 1.5.6: A function is given by a table of values, a graph, a formula, or a ...
 1.5.7: A function is given by a table of values, a graph, a formula, or a ...
 1.5.8: A function is given by a table of values, a graph, a formula, or a ...
 1.5.9: A function is given by a table of values, a graph, a formula, or a ...
 1.5.10: A function is given by a table of values, a graph, a formula, or a ...
 1.5.11: A function is given by a table of values, a graph, a formula, or a ...
 1.5.12: A function is given by a table of values, a graph, a formula, or a ...
 1.5.13: A function is given by a table of values, a graph, a formula, or a ...
 1.5.14: A function is given by a table of values, a graph, a formula, or a ...
 1.5.15: Assume that f is a onetoone function. (a) If fs6d 17, what is f 2...
 1.5.16: If f sxd x 5 1 x 3 1 x, find f 21 s3d and fs f 21 s2dd.
 1.5.17: If tsxd 3 1 x 1 ex , find t21 s4d.
 1.5.18: The graph of f is given. (a) Why is f onetoone? (b) What are the ...
 1.5.19: The formula C 5 9 sF 2 32d, where F > 2459.67, expresses the Celsiu...
 1.5.20: In the theory of relativity, the mass of a particle with speed is m...
 1.5.21: Find a formula for the inverse of the function. fsxd 1 1 s2 1 3x
 1.5.22: Find a formula for the inverse of the function. fsxd 4x 2 1 2x 1 3
 1.5.23: Find a formula for the inverse of the function. fsxd e 2x21
 1.5.24: Find a formula for the inverse of the function. y x 2 2 x, x > 1 2
 1.5.25: Find a formula for the inverse of the function.y lnsx 1 3d
 1.5.26: Find a formula for the inverse of the function.y 1 2 e2x 1 1 e2x
 1.5.27: Find an explicit formula for f 21 and use it to graph f 21 , f, and...
 1.5.28: Find an explicit formula for f 21 and use it to graph f 21 , f, and...
 1.5.29: Use the given graph of f to sketch the graph of f 21 .
 1.5.30: Use the given graph of f to sketch the graph of f 21 .
 1.5.31: Let f sxd s1 2 x 2 , 0 < x < 1. (a) Find f 21 . How is it related t...
 1.5.32: Let tsxd s 3 1 2 x 3 . (a) Find t21 . How is it related to t? (b) G...
 1.5.33: (a) How is the logarithmic function y logb x defined? (b) What is t...
 1.5.34: (a) What is the natural logarithm? (b) What is the common logarithm...
 1.5.35: Find the exact value of each expression. (a) log2 32 (b) log8 2
 1.5.36: Find the exact value of each expression. (a) log5 1 125 (b) lns1ye 2 d
 1.5.37: Find the exact value of each expression. (a) log10 40 1 log10 2.5 (...
 1.5.38: Find the exact value of each expression.(a) e2ln 2 (b) elnsln e3 d
 1.5.39: Express the given quantity as a single logarithm. ln 10 1 2 ln 5
 1.5.40: Express the given quantity as a single logarithm. ln b 1 2 ln c 2 3...
 1.5.41: Express the given quantity as a single logarithm. 3 lnsx 1 2d 3 1 1...
 1.5.42: Use Formula 10 to evaluate each logarithm correct to six decimal pl...
 1.5.43: Use Formula 10 to graph the given functions on a common screen. How...
 1.5.44: Use Formula 10 to graph the given functions on a common screen. How...
 1.5.45: Suppose that the graph of y log2 x is drawn on a coordinate grid wh...
 1.5.46: Compare the functions f sxd x 0.1 and tsxd ln x by graphing both f ...
 1.5.47: Make a rough sketch of the graph of each function. Do not use a cal...
 1.5.48: Make a rough sketch of the graph of each function. Do not use a cal...
 1.5.49: (a) What are the domain and range of f ? (b) What is the xintercep...
 1.5.50: (a) What are the domain and range of f ? (b) What is the xintercep...
 1.5.51: Solve each equation for x. (a) e724x 6 (b) lns3x 2 10d 2
 1.5.52: Solve each equation for x. (a) lnsx 2 2 1d 3 (b) e 2x 2 3ex 1 2 0
 1.5.53: Solve each equation for x. (a) 2x25 3 (b) ln x 1 lnsx 2 1d 1
 1.5.54: Solve each equation for x. (a) lnsln xd 1 (b) e ax Ce bx, where a b
 1.5.55: Solve each inequality for x. (a) ln x , 0 (b) ex . 5
 1.5.56: Solve each inequality for x. (a) 1 , e 3x21 , 2 (b) 1 2 2 ln x , 3
 1.5.57: (a) Find the domain of fsxd lnsex 2 3d. (b) Find f 21 and its domain.
 1.5.58: a) What are the values of eln 300 and lnse 300d? (b) Use your calcu...
 1.5.59: Graph the function fsxd sx 3 1 x 2 1 x 1 1 and explain why it is on...
 1.5.60: (a) If tsxd x 6 1 x 4 , x > 0, use a computer algebra system to fin...
 1.5.61: If a bacteria population starts with 100 bacteria and doubles every...
 1.5.62: When a camera flash goes off, the batteries immediately begin to re...
 1.5.63: Find the exact value of each expression. . (a) cos21 s21d (b) sin21...
 1.5.64: Find the exact value of each expression. (a) tan21 s3 (b) arctans21d
 1.5.65: Find the exact value of each expression.(a) csc21 s2 (b) arcsin 1
 1.5.66: Find the exact value of each expression. (a) sin21 (21ys2 ) (b) cos...
 1.5.67: Find the exact value of each expression. . (a) cot21 (2s3 ) (b) sec...
 1.5.68: Find the exact value of each expression. (a) arcsinssins5y4dd (b) c...
 1.5.69: Prove that cosssin21 xd s1 2 x 2 .
 1.5.70: Simplify the expression. tanssin21 xd
 1.5.71: Simplify the expression. sinstan21 xd
 1.5.72: Simplify the expression. sins2 arccos xd
 1.5.73: Graph the given functions on the same screen. How are these graphs ...
 1.5.74: Graph the given functions on the same screen. How are these graphs ...
 1.5.75: Find the domain and range of the function tsxd sin21 s3x 1 1d
 1.5.76: (a) Graph the function fsxd sinssin21 xd and explain the appearance...
 1.5.77: (a) If we shift a curve to the left, what happens to its reflection...
Solutions for Chapter 1.5: Inverse Functions and Logarithms
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 1.5: Inverse Functions and Logarithms
Get Full SolutionsThis textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Chapter 1.5: Inverse Functions and Logarithms includes 77 full stepbystep solutions. Since 77 problems in chapter 1.5: Inverse Functions and Logarithms have been answered, more than 39817 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions.

Backtoback stemplot
A stemplot with leaves on either side used to compare two distributions.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Cone
See Right circular cone.

Coterminal angles
Two angles having the same initial side and the same terminal side

Domain of a function
The set of all input values for a function

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Frequency
Reciprocal of the period of a sinusoid.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Modified boxplot
A boxplot with the outliers removed.

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Perihelion
The closest point to the Sun in a planet’s orbit.

Pie chart
See Circle graph.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Slant asymptote
An end behavior asymptote that is a slant line

Spiral of Archimedes
The graph of the polar curve.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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