f of x equals 4 x over quantity x squared minus 16. Show all work to identify the asymptotes and zero of the function.

Given:

The function is

To find:

The asymptotes and zero of the function.

Solution:

We have,

For zeroes, f(x)=0.

Therefore, zero of the function is 0.

For vertical asymptote equate the denominator of the function equal to 0.

Taking square root on both sides, we get

So, vertical asymptotes are x=-4 and x=4.

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

17

step-by-step explanation:

51/3=17

thus 17 is your answer.