Determine the x-intercept of the function g(x) = the form f(x)= a(e), a 0, c> 0, c# 1, such that f(x)-6, where f(x) is an exponential function of f(x+2)-f(x+1)= 12 f(x) for all x ER and f(-1) = 1/.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Determine the x-intercept of the function_g(x) = ½ƒ(x) — 6, where f(x) is an exponential function of
the form f(x) = a(c¹), a ‡ 0, c > 0, c ‡ 1, such that f(x+2) − ƒ(x + 1) = 12 ƒ(x) for all x € R and f(-1) = 2/1.
O Option 1
(-6,0)
(1/₁0)
O Option 2
(-2,0)
(0.1)
0,
Transcribed Image Text:Determine the x-intercept of the function_g(x) = ½ƒ(x) — 6, where f(x) is an exponential function of the form f(x) = a(c¹), a ‡ 0, c > 0, c ‡ 1, such that f(x+2) − ƒ(x + 1) = 12 ƒ(x) for all x € R and f(-1) = 2/1. O Option 1 (-6,0) (1/₁0) O Option 2 (-2,0) (0.1) 0,
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