Are the following statements true or false? Please explain. (a) The Law of Cosines cannot be used in a right triangle. (b) The Law of Sines may only be used in a right triangle. f (x + h) – f(x) (c) If f(x) = x² + x, then (d) For an invertible function g, it is always true that g¬1(g(x)) =x. (e) If g(3) = g(5), then g is not invertible. (f) If ƒ is increasing and invertible, then f-1 is decreasing. = 2x + h. h

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Are the following statements true or false? Please explain.
(a) The Law of Cosines cannot be used in a right triangle.
(b) The Law of Sines may only be used in a right triangle.
f (x + h) – f(x)
(c) If f(x) = x² + x, then
(d) For an invertible function g, it is always true that g¬1(g(x)) =x.
(e) If g(3) = g(5), then g is not invertible.
(f) If ƒ is increasing and invertible, then f-1 is decreasing.
= 2x + h.
h
Transcribed Image Text:Are the following statements true or false? Please explain. (a) The Law of Cosines cannot be used in a right triangle. (b) The Law of Sines may only be used in a right triangle. f (x + h) – f(x) (c) If f(x) = x² + x, then (d) For an invertible function g, it is always true that g¬1(g(x)) =x. (e) If g(3) = g(5), then g is not invertible. (f) If ƒ is increasing and invertible, then f-1 is decreasing. = 2x + h. h
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