 1.5.1: Which of the following satisfy f 1(x) = f (x)? (a) f (x) = x (b) f ...
 1.5.2: The function f maps teenagers in the United States to their last na...
 1.5.3: The function f maps teenagers in the United States to their last na...
 1.5.4: A homework problem asks for a sketch of the graph of the inverse of...
 1.5.5: Which of the following quantities is undefined? (a) sin1 1 2 (b) co...
 1.5.6: Give an example of an angle such that cos1(cos ) = . Does this cont...
 1.5.7: The escape velocity from a planet of radius R is v(R) = 2GM R , whe...
 1.5.8: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.9: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.10: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.11: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.12: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.13: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.14: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.15: In Exercises 815, find a domain on which f is onetoone and a form...
 1.5.16: For each function shown in Figure 19, sketch the graph of the inver...
 1.5.17: Which of the graphs in Figure 20 is the graph of a function satisfy...
 1.5.18: Let n be a nonzero integer. Find a domain on which f (x) = (1 xn)1/...
 1.5.19: Let f (x) = x7 + x + 1. (a) Show that f 1 exists (but do not attemp...
 1.5.20: Show that f (x) = (x2 + 1)1 is onetoone on (, 0], and find a form...
 1.5.21: Let f (x) = x2 2x. Determine a domain on which f 1 exists, and find...
 1.5.22: Show that f (x) = x + x1 is onetoone on [1,), and find the corres...
 1.5.23: Show that f (x) = x + x1 is onetoone on [1,), and find the corres...
 1.5.24: g(x) = x when x < 1 x when x 1
 1.5.25: f (x) = x2 when x < 0 x when x 0
 1.5.26: g(x) = x when x < 0 x2 when x 0
 1.5.27: In Exercises 2732, evaluate without using a calculator cos1 1
 1.5.28: In Exercises 2732, evaluate without using a calculator sin1 12
 1.5.29: In Exercises 2732, evaluate without using a calculator cot1 1
 1.5.30: In Exercises 2732, evaluate without using a calculator sec1 23
 1.5.31: In Exercises 2732, evaluate without using a calculator tan1 3
 1.5.32: In Exercises 2732, evaluate without using a calculator sin1(1)
 1.5.33: In Exercises 3342, compute without using a calculator sin1 sin 3
 1.5.34: In Exercises 3342, compute without using a calculator sin1 sin 4 3
 1.5.35: In Exercises 3342, compute without using a calculator cos1 cos 3 2
 1.5.36: In Exercises 3342, compute without using a calculator sin1 sin 5 6
 1.5.37: In Exercises 3342, compute without using a calculator tan1 tan 3 4
 1.5.38: In Exercises 3342, compute without using a calculator tan1(tan )
 1.5.39: In Exercises 3342, compute without using a calculator sec1(sec 3 )
 1.5.40: In Exercises 3342, compute without using a calculator sec1 sec 3 2
 1.5.41: In Exercises 3342, compute without using a calculator csc1 csc( )
 1.5.42: In Exercises 3342, compute without using a calculator cot1 cot 4
 1.5.43: In Exercises 4346, simplify by referring to the appropriate triangl...
 1.5.44: In Exercises 4346, simplify by referring to the appropriate triangl...
 1.5.45: In Exercises 4346, simplify by referring to the appropriate triangl...
 1.5.46: In Exercises 4346, simplify by referring to the appropriate triangl...
 1.5.47: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.48: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.49: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.50: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.51: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.52: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.53: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.54: In Exercises 4754, refer to the appropriate triangle or trigonometr...
 1.5.55: Show that if f is odd and f 1 exists, then f 1 is odd. Show, on the...
 1.5.56: A cylindrical tank of radius R and length L lying horizontally as i...
Solutions for Chapter 1.5: Inverse Functions
Full solutions for Calculus: Early Transcendentals  3rd Edition
ISBN: 9781464114885
Solutions for Chapter 1.5: Inverse Functions
Get Full SolutionsChapter 1.5: Inverse Functions includes 56 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Since 56 problems in chapter 1.5: Inverse Functions have been answered, more than 40769 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

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

Common logarithm
A logarithm with base 10.

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

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

Empty set
A set with no elements

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Hypotenuse
Side opposite the right angle in a right triangle.

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Obtuse triangle
A triangle in which one angle is greater than 90°.

Parameter
See Parametric equations.

Phase shift
See Sinusoid.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Reflexive property of equality
a = a

Remainder polynomial
See Division algorithm for polynomials.

Whole numbers
The numbers 0, 1, 2, 3, ... .