7. show all work to identify the discontinuity and zero of the function f of x equals 5 x over quantity x squared minus 25. 8. the aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. how many green fish are in the aquarium? show your work.

Question 1:

For this case we have that the function is undefined or discontinuous where the denominator equals 0.

Thus, the function is undefined or discontinuous at +5 and -5.

To find the zeros of the function we match the function to zero and clear "x":

Factoring the denominator, taking into account that the roots are -5 and +5:

We multiply byon both sides of the equation:

Discontinuity: + 5, -5

Zero: x = 0

Question 2:

For this case we propose a system of equations:

x: Be the variable that represents the yellow fish

y: Be the variable that represents the green fish

We manipulate the second equation:

We substitute in the first equation:

So, we have 12 yellow fish in the aquarium.

So, we have 18 green fish.

12 yellow fish

18 green fish