 5.3.1: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.2: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.3: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.4: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.5: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.6: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.7: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.8: In Exercises 18, show that and are inverse functions (a) analytical...
 5.3.9: In Exercises 912, match the graph of the function with the graph of...
 5.3.10: In Exercises 912, match the graph of the function with the graph of...
 5.3.11: In Exercises 912, match the graph of the function with the graph of...
 5.3.12: In Exercises 912, match the graph of the function with the graph of...
 5.3.13: In Exercises 1316, use the Horizontal Line Test to determine whethe...
 5.3.14: In Exercises 1316, use the Horizontal Line Test to determine whethe...
 5.3.15: In Exercises 1316, use the Horizontal Line Test to determine whethe...
 5.3.16: In Exercises 1316, use the Horizontal Line Test to determine whethe...
 5.3.17: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.18: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.19: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.20: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.21: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.22: In Exercises 1722, use a graphing utility to graph the function. De...
 5.3.23: In Exercises 2328, use the derivative to determine whether the func...
 5.3.24: In Exercises 2328, use the derivative to determine whether the func...
 5.3.25: In Exercises 2328, use the derivative to determine whether the func...
 5.3.26: In Exercises 2328, use the derivative to determine whether the func...
 5.3.27: In Exercises 2328, use the derivative to determine whether the func...
 5.3.28: In Exercises 2328, use the derivative to determine whether the func...
 5.3.29: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.30: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.31: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.32: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.33: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.34: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.35: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.36: In Exercises 2936, find the inverse function of Graph (by hand) and...
 5.3.37: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.38: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.39: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.40: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.41: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.42: In Exercises 37 42, find the inverse function of Use a graphing uti...
 5.3.43: In Exercises 43 and 44, use the graph of the function to complete t...
 5.3.44: In Exercises 43 and 44, use the graph of the function to complete t...
 5.3.45: Cost You need 50 pounds of two commodities costing $1.25 and $1.60 ...
 5.3.46: Temperature The formula where represents Celsius temperature as a f...
 5.3.47: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.48: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.49: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.50: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.51: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.52: In Exercises 4752, show that is strictly monotonic on the given int...
 5.3.53: In Exercises 53 and 54, find the inverse function of over the given...
 5.3.54: In Exercises 53 and 54, find the inverse function of over the given...
 5.3.55: Graphical Reasoning In Exercises 5558, (a) use a graphing utility t...
 5.3.56: Graphical Reasoning In Exercises 5558, (a) use a graphing utility t...
 5.3.57: Graphical Reasoning In Exercises 5558, (a) use a graphing utility t...
 5.3.58: Graphical Reasoning In Exercises 5558, (a) use a graphing utility t...
 5.3.59: In Exercises 5962, determine whether the function is onetoone. If ...
 5.3.60: In Exercises 5962, determine whether the function is onetoone. If ...
 5.3.61: In Exercises 5962, determine whether the function is onetoone. If ...
 5.3.62: In Exercises 5962, determine whether the function is onetoone. If ...
 5.3.63: In Exercises 6366, delete part of the domain so that the function t...
 5.3.64: In Exercises 6366, delete part of the domain so that the function t...
 5.3.65: In Exercises 6366, delete part of the domain so that the function t...
 5.3.66: In Exercises 6366, delete part of the domain so that the function t...
 5.3.67: Think About It In Exercises 6770, decide whether the function has a...
 5.3.68: Think About It In Exercises 6770, decide whether the function has a...
 5.3.69: Think About It In Exercises 6770, decide whether the function has a...
 5.3.70: Think About It In Exercises 6770, decide whether the function has a...
 5.3.71: In Exercises 7176, find for the function and the given real number 9y6
 5.3.72: In Exercises 7176, find for the function and the given real number y6
 5.3.73: In Exercises 7176, find for the function and the given real number 6x
 5.3.74: In Exercises 7176, find for the function and the given real number 6x
 5.3.75: In Exercises 7176, find for the function and the given real number 6xy
 5.3.76: In Exercises 7176, find for the function and the given real number xy
 5.3.77: In Exercises 77 80, (a) find the domains of and (b) find the ranges...
 5.3.78: In Exercises 77 80, (a) find the domains of and (b) find the ranges...
 5.3.79: In Exercises 77 80, (a) find the domains of and (b) find the ranges...
 5.3.80: In Exercises 77 80, (a) find the domains of and (b) find the ranges...
 5.3.81: In Exercises 81 and 82, find at the given point for the equation. 6x
 5.3.82: In Exercises 81 and 82, find at the given point for the equation. xy
 5.3.83: In Exercises 8386, use the functions and to find the given value. xy
 5.3.84: In Exercises 8386, use the functions and to find the given value. xy10
 5.3.85: In Exercises 8386, use the functions and to find the given value. y10x
 5.3.86: In Exercises 8386, use the functions and to find the given value. y...
 5.3.87: In Exercises 8790, use the functions and to find the given function...
 5.3.88: In Exercises 8790, use the functions and to find the given function...
 5.3.89: In Exercises 8790, use the functions and to find the given function...
 5.3.90: In Exercises 8790, use the functions and to find the given function...
 5.3.93: In Exercises 93 and 94, the derivative of the function has the same...
 5.3.94: In Exercises 93 and 94, the derivative of the function has the same...
 5.3.95: Think About It The function is onetoone and Find y1xx
 5.3.96: (a) Show that is not onetoone on (b) Determine the greatest value...
 5.3.97: Let and be onetoone functions. Prove that (a) is onetoone and (...
 5.3.98: Prove that if has an inverse function, then xxy2
 5.3.99: Prove that if a function has an inverse function, then the inverse ...
 5.3.100: Prove that a function has an inverse function if and only if it is ...
 5.3.101: True or False? In Exercises 101104, determine whether the statement...
 5.3.102: True or False? In Exercises 101104, determine whether the statement...
 5.3.103: True or False? In Exercises 101104, determine whether the statement...
 5.3.104: True or False? In Exercises 101104, determine whether the statement...
 5.3.105: Is the converse of the second part of Theorem 5.7 true? That is, if...
 5.3.106: Let be twicedifferentiable and onetoone on an open interval Show...
 5.3.107: If find y3y
 5.3.108: Show that is onetoone and find 3y9
 5.3.109: Let Show that is its own inverse function. What can you conclude ab...
Solutions for Chapter 5.3: Inverse Functions
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 5.3: Inverse Functions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 107 problems in chapter 5.3: Inverse Functions have been answered, more than 79352 students have viewed full stepbystep solutions from this chapter. Chapter 5.3: Inverse Functions includes 107 full stepbystep solutions.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Absolute value of a vector
See Magnitude of a vector.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Equivalent vectors
Vectors with the same magnitude and direction.

Event
A subset of a sample space.

Halflife
The amount of time required for half of a radioactive substance to decay.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

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

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Unit ratio
See Conversion factor.

Zero vector
The vector <0,0> or <0,0,0>.