Question

determine the asymptote of the equation below:
g(x)=4·2^{x}+3

Explanation:

Step1: Recall the general form of exponential function

The general form of an exponential function is \(y = a\cdot b^{x}+k\), where \(y = k\) is the horizontal asymptote.

Step2: Identify \(a\), \(b\) and \(k\) in the given function

For the function \(g(x)=4\cdot2^{x}+3\), we have \(a = 4\), \(b = 2\) and \(k = 3\).

Answer:

\(y = 3\)