If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18

Option 3: 12 is the correct answer.

Step-by-step explanation:

Given functions are:

In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of  that will make (f-g)(x)

So,

Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0

Adding 24 on both sides

Dividing both sides by 2

For x=12, (f-g)(x) will be zero.

Hence,

Option 3: 12 is the correct answer.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.