Question 11(Multiple Choice)

Mathematics

1 answer:

Bezzdna [24]11 months ago

8 0

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

Read more about x-intercept and asymptote at

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ivanzaharov [21]

Answer:

The values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

Step-by-step explanation:

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$x = 0\pm \pi\cdot i$ , $\forall \,i\in \mathbb{N}_{O}$