The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
<h3>How to determine the x-intercept and asymptote of g(x)?</h3>
The equation of the function is given as:
g(x) = log3 (x - 4)
Set the function to 0, to determine the x-intercept
log3 (x - 4) = 0
Express the function as an exponential function
x - 4 = 3^0
Evaluate the exponent
x - 4 = 1
Add 4 to both sides
x = 5
Set the radical to 0, to determine the asymptote
x - 4 = 0
Add 4 to both sides
x = 4
Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
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