MATH SOLVE

3 months ago

Q:
# how do you find the zeroes of a function algebraically? for example:f(x) = 3x + 24i was absent on the day the class was taught this, and the teacher decided to give a quiz on this right after they learned it, i’m gonna get a 0 if i don’t learn this. please explain.

Accepted Solution

A:

Answer:x = - 8Step-by-step explanation:To find the zeroes of a function means for what values of x (Independent variable) the f(x) i.e. y (Dependent variable) will become zero.
So, to find the zeros of a function we have to make an equation y = f(x) = 0.
In our case f(x) = 3x + 24
So, making f(x) = 0, we get, 3x + 24 = 0
⇒ 3x = - 24
⇒ x = - 8
Therefore, the zeroes of the function f(x) = 3x + 24 will be x = - 8. (Answer)
Since the function f(x) is linear i.e. maximum power of x in the function is 1, therefore, there will be only one zero of the function f(x).