Solution:
Given the function:
[tex]f(x)=-3\log_2(x_+4)-5[/tex]
To determine the equation of the asymptote, we first plot the graph of the function.
Thus, for various values of x and y, the graph of the function is shown below:
The asymptote is a line such that the distance between the graphed curve and the line approaches zero when the x or y coordinate approaches infinity.
In the above curve, the asymptote is at
[tex]x=-4[/tex]
Hence, the equation of the asymptote is expressed as
[tex]x=-4[/tex]
