Answer
Domain: (-4, ∞)
Range: (-∞, ∞)
Asymptote: x = -4
See graph below
Work Step by Step
This problem just asks for the graph of the function, domain, range, and asymptote.
Given $f(x) = \log_{5} (x+4) + 3 $
The graph in black represents $\log_{5} (x) $
The function (in red) shifts left 4 units then shifts up 2 units
Domain: (-4, ∞)
Range: (-∞, ∞)
Asymptote: x = -4
