(3) Inverse property Review: The inverse involves interchanging x with y. The inverse of f will undo the operations of f on the input. Fact: If two functions f (x)and g(x) are inverse of each other, then f(g(x)) = x [Here f cancels what g does on x] and g(f(x)) = x [Here g cancels what f does on x] %3D #5. Let f(x) = 2x – 1 and g(x) = x+1 %3D %3D Find a) f(g(x)) and g(f(x)) b) Find f(g(3)) and g(f(5)) 59

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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(3) Inverse property
Review: The inverse involves interchanging x with y. The inverse of f will undo the operations of
f on the input.
Fact: If two functions f (x)and g(x) are inverse of each other, then
f(g(x)) =
x [Here f cancels what g does on x]
and
g(f(x)) = x [Here g cancels what f does on x]
%3D
#5. Let f(x) = 2x – 1 and g(x) =
x+1
%3D
%3D
Find a) f(g(x)) and g(f(x))
b) Find f(g(3)) and g(f(5))
59
Transcribed Image Text:(3) Inverse property Review: The inverse involves interchanging x with y. The inverse of f will undo the operations of f on the input. Fact: If two functions f (x)and g(x) are inverse of each other, then f(g(x)) = x [Here f cancels what g does on x] and g(f(x)) = x [Here g cancels what f does on x] %3D #5. Let f(x) = 2x – 1 and g(x) = x+1 %3D %3D Find a) f(g(x)) and g(f(x)) b) Find f(g(3)) and g(f(5)) 59
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