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Solutions for Chapter 1.8: Combinations of Functions: Composite Functions

Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 1.8: Combinations of Functions: Composite Functions

Solutions for Chapter 1.8
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ISBN: 9780618643448

This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448. Since 80 problems in chapter 1.8: Combinations of Functions: Composite Functions have been answered, more than 14763 students have viewed full step-by-step solutions from this chapter. Chapter 1.8: Combinations of Functions: Composite Functions includes 80 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• 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 z-components of the vector, respectively)

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Gaussian curve

See Normal curve.

• Inductive step

See Mathematical induction.

• Interquartile range

The difference between the third quartile and the first quartile.

• Monomial function

A polynomial with exactly one term.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Phase shift

See Sinusoid.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Right angle

A 90° angle.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

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