Problem

What is the equation of the horizontal asymptote for the function $y=2(4)^{x+1}+3$ ?

Answer

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Answer

\(\boxed{y=3}\)

Steps

Step 1 :Analyze the behavior of the function as x approaches negative infinity: \(2(4)^{x+1}+3\)

Step 2 :As x approaches negative infinity, the exponential term \((4)^{x+1}\) approaches 0, so the horizontal asymptote is the constant term 3.

Step 3 :\(\boxed{y=3}\)

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