(b) The function f is defined by f(x) = V3 sin x + cos x Where x E R,-n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Hi, I need help with these. Thanks
(b) The function f is defined by
f(x) = v3 sin x + cos x
Where x E R, -T < x < -
(iv) Define the largest domain of f(x) such that f-1(x) exists and define f-1(x)
(v) Hence, on the axis above, sketch the function of f-(x)
The function g is defined by
1
g(x) =- Ix - 1|
%3D
Where x E R, -<x <;
(vi) Explain why the composite function f(g(x)) exists, hence find the range of f(g(x))
Transcribed Image Text:(b) The function f is defined by f(x) = v3 sin x + cos x Where x E R, -T < x < - (iv) Define the largest domain of f(x) such that f-1(x) exists and define f-1(x) (v) Hence, on the axis above, sketch the function of f-(x) The function g is defined by 1 g(x) =- Ix - 1| %3D Where x E R, -<x <; (vi) Explain why the composite function f(g(x)) exists, hence find the range of f(g(x))
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