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# Solutions for Chapter 1.7: Combinations of Functions; Composite Functions ## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845 Solutions for Chapter 1.7: Combinations of Functions; Composite Functions

Solutions for Chapter 1.7
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##### ISBN: 9780321559845

Precalculus was written by Patricia and is associated to the ISBN: 9780321559845. Chapter 1.7: Combinations of Functions; Composite Functions includes 120 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Since 120 problems in chapter 1.7: Combinations of Functions; Composite Functions have been answered, more than 26511 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Direct variation

See Power function.

• 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

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Independent variable

Variable representing the domain value of a function (usually x).

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Parallelogram representation of vector addition

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

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

The graph in three dimensions of a seconddegree equation in three variables.

• Quotient polynomial

See Division algorithm for polynomials.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Random behavior

Behavior that is determined only by the laws of probability.

• Reciprocal identity

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

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Symmetric about the y-axis

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

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