Question

Determine all numbers at which are function Continuous..

f(x)={
x^2 + 5x - 36/
x^2 + 8x - 9
if x≠-9
if x= -9}
a.
continuous at every real number except x = 1 and x = -9
b. continuous at every real number except x = -9
c.continuous at every real number except x = 1
d. continuous at every real number except x = -9 and x = 4

Answer 1

A or continuous at every real number except x=1 and x=-9

Explanation:

Just took the test :)

Answer 2

For this case we have this function:

`f(x) =(x^2 +5x-36)/(x^2 +8x-9), x=9`

We can factor the denominator and we got:

`f(x) =(x^2 +5x-36)/((x+9)(x-1)), x=9`

And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:

Continuous at every real number except x=1 and x=-9

Explanation:

For this case we have this function:

`f(x) =(x^2 +5x-36)/(x^2 +8x-9), x=9`

We can factor the denominator and we got:

`f(x) =(x^2 +5x-36)/((x+9)(x-1)), x=9`

And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:

Continuous at every real number except x=1 and x=-9