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Using the graph of the function g(x) = log5 (x – 3), what are the x-intercept and asymptote of g(x)? The x-intercept is 4, and the asymptote is located at x = 3. The x-intercept is 3, and the asymptote is located at x = 4. The x-intercept is 4, and the asymptote is located at y = 3. The x-intercept is 3, and the asymptote is located at y = 4.

Sagot :

The x-intercept is 4, and the asymptote is located at y = 3 , Option C is the correct answer.

What is an Asymptote ?

An asymptote is a line that a curve approaches but it never reach.

The given equation

y = log₅(x-3)

To find the asymptote

Set the argument of the logarithm equal to zero.

x - 3 = 0

The vertical asymptote occurs at

x = 3

The equation can also be written as

[tex]\rm 5^y = x-3[/tex]

To find the x intercept we will put the value of y = 0 ;

therefore

5⁰ = x -3

1=x-3

x = 4

Therefore ,The x-intercept is 4, and the asymptote is located at y = 3 , Option C is the correct answer.

To know more about Asymptote

https://brainly.com/question/4084552

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