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Given: f(x) = 1/2 f(x-1) - 3 and f(1) = -5 , find f(-2)

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1 Answer

f(x) = (1/2)f(x-1) - 3
f(1) = (1/2)f(0) - 3 = -5 => f(0) = -4
f(0) = (1/2)f(-1) - 3 = -4 => f(-1) = -2
f(-1) = (1/2)f(-2) - 3 = -2 => f(-2) = 2 <==Answer
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Short cut: f(x-1) = 2(f(x)+3)
-5, 2(-5+3) = -4, 2(-4+3) = -2, 2(-2+3) = 2
 
 
 
 

Comments

Thank you Robert for answering this for me, I really appreciate it!   ~ Cristl