Question

Question 11(Multiple Choice)

Answer 1

The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively

How to determine the x-intercept and asymptote of g(x)?

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

Read more about x-intercept and asymptote at

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