alexbob
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

#SPJ1

View image ayoushivt
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.