sb to 3. Let f(x) = 2 sin(3x) + 4 for x E R. a. The range of f is k s f(x) sm. Find k and m. b. Let g(x) = 5ƒ(2x). Find the range of g. %3D wodio tedamun c. The function g can be written in the form g(x) = 10 sin(bx) + c. Find the value of b and of с. [3 тarks] Splo sulev arb baid d. Find the period of g. 47 e. The equation g(x) = 12 has two solutions where t s xs. Find both solutions. %3D 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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3. Let f(x) = 2 sin(3x) + 4 for x E R.
a. The range of f is k s f (x) < m. Find k and m.
b. Let g(x) = 5f(2x). Find the range of g.
uod lo 1edmun d
c. The function g can be written in the form g(x) = 10 sin(bx) + c. Find the value of b and of
c. [3 marks]
nm S1 plo sulev adr bnid
d. Find the period of g.
e. The equation g(x) = 12 has two solutions where nsx. Find both solutions.
Transcribed Image Text:3. Let f(x) = 2 sin(3x) + 4 for x E R. a. The range of f is k s f (x) < m. Find k and m. b. Let g(x) = 5f(2x). Find the range of g. uod lo 1edmun d c. The function g can be written in the form g(x) = 10 sin(bx) + c. Find the value of b and of c. [3 marks] nm S1 plo sulev adr bnid d. Find the period of g. e. The equation g(x) = 12 has two solutions where nsx. Find both solutions.
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