

Course 3, Unit 8  Inverse Functions
Overview
This unit introduces inverse functions. Logarithms and the properties
of logarithms were introduced in Course 2 Unit 5 and are revisited
here. Then the logarithm function as the inverse of exponential function
base is studied. Students also develop an understanding of the inverse
sine, cosine, and tangent functions and consider applications of these
functions.
New Key Ideas from Course 3, Unit 8

For a given function f, if the function g has domain
equal to the range of f, range equal to the domain of f,
and g(f(x)) = x for all x,
then g is called the inverse of f. For example,
for f(x) = 2x + 4, the inverse
function is g(x) = (x − 4)/2. (See
pages 543548.)

Logarithms: and their properties (See pages 559567.)

Sine, cosine, and tangent inverse functions: (See pages 577581
and 586588.)

Trigonometric equations: finding solutions (See pages 581583.)
