Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]. f(x) is increasing for all x > –4
What is a function?
A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
[tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex]
Expand the denominator
[tex]f (x)= \frac{x-4}{x^2+4x+9x+36}[/tex]
Factorize the denominator
[tex]f (x)= \frac{x-4}{x(x+4)+9(x+4)}[/tex]
Factor out x + 9
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]
Hence, the simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]. f(x) is increasing for all x > –4
Read more about functions at:
brainly.com/question/1851758
#SPJ1
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
