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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
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