Show all work to identify the discontinuity and zero of the function f of x equals 6 x over quantity x squared minus 36

The discontinuity is at x = -6 and x = 6

The zero of the function is x = 0

Step-by-step explanation:

* Lets explain the problem

∵  

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x² - 36

∵ x² - 36 = 0 ⇒ add 36 to both sides

∴ x² = 36 ⇒ take √ for both sides

∴ x = ± 6

* The discontinuity is at x = -6 and x = 6

- Lets find the zero of the f(x)

∵ The zero of the function is the values of x which make f(x) = 0,

   means the  intersection point between the graph and the x-axis

∵ f(x) = 0

∴   ⇒ by using cross multiplication

∴ 6x = 0 ⇒ divide both sides  by 6

∴ x = 0

* The zero of the function is x = 0

- Look to the attached graph for more understand

1 is b and 2 is d

step-by-step explanation:

move it to the other side

step-by-step explanation: