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1.1 Functions Inverse Functions Questions - The Answer

1.1 Functions Inverse Functions Questions - The Answer

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Gr 12 Maths – Functions: Questions Copyright © The Answer 2 INVERSE FUNCTIONS (Gr 12 only) 2.3 Sketch the graphs of the functions 2.5 ) = - a function.

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Algebra II Inverse Functions

Algebra II Inverse Functions

www.doe.virginia.gov

graphing utilities as they explore inverse functions in this lesson.) Finding the inverse: Inform students that the graph of a one-to-one function, f, and its inverse are symmetric with respect to y = x. Therefore, we can identify f −1 by interchanging the roles of x and y: if f is defined by the equation y = f(x), then f −1 is

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CLEP College Algebra

CLEP College Algebra

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§Evaluation of functions §Algebra of functions Graphs and their properties (including intercepts, symmetry, transformations) §Inverse functions . 20% NUMBER SYSTEMS AND OPERATIONS §Real numbers §Complex numbers §Sequences and series §Factorials and Binomial Theorem . 1. Each test may contain a variety of functions, including linear,

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QCF Level: 4 Credit value: 15 OUTCOME 2 - …

QCF Level: 4 Credit value: 15 OUTCOME 2 - …

www.freestudy.co.uk

©D.J.Dunn www.freestudy.co.uk 4 INVERSE FUNCTIONS Some people find it useful to use the inverse functions which are as follows. cosec …

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INVERSE TRIGONOMETRIC FUNCTIONS

INVERSE TRIGONOMETRIC FUNCTIONS

www.alamo.edu

Inverse Trigonometric Functions Review First, let’s review briefly inverse functions before getting into inverse trigonometric functions: • f Æ f -1 is the inverse • The range of f = the domain of f -1, the inverse. • The domain of f = the range of f …

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Inverse functions - mathcentre.ac.uk

Inverse functions - mathcentre.ac.uk

www.mathcentre.ac.uk

Inverse functions mc-TY-inverse-2009-1 An inverse function is a second function which undoes the work of the first one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist.

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Inverse Trig Functions - Cornell University

Inverse Trig Functions - Cornell University

twiki.math.cornell.edu

Definitions of the Inverse Functions When the trig functions are restricted to the domains above they become one-to-one func-tions, so we can define the inverse functions. For the sine function we use the notation sin−1(x) or arcsin(x). Both are read “arc sine” . Look carefully at where we have placed the -1.

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Inverse Functions - Mesa Community College

Inverse Functions - Mesa Community College

www.mesacc.edu

Inverse Functions What is an Inverse F unction? An inverse function is a function that will “undo” anything that the original function does.

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Inverse Functions - Mesa Community College

Inverse Functions - Mesa Community College

www.mesacc.edu

Example 7 : If f(x) = (x – 2) 3 , find the inverse. This function passes the Horizontal Line Test which means it is a one­to ­one function that has an inverse.

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