Iam not good at math!
given the function f(x)= \frac{x^2+7x+10}{x^2+9x+20} describe where the function has a hole and how you found your answer.

Only hole of function is at x=(-4)

Step-by-step explanation:

Given the function is

In order to find holes of any function, you should find when function is becoming undefined or say " infinity"

Given function is polynomial function.

It will become undefined become denominator become zero

Solving for x value when denominator become zero

we get possible holes at x=(-4) and x=(-5)

Check whether you can eliminate any holes

Now, Solving for x value when numerator become zero

x=(-5) and x=(-2)

x=(-5) is common is both numerator and denominator.

So that, we can eliminate it.

Therefore, Only hole of function is at x=(-4)

f

step-by-step explanation:

f

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is