Consider the function g(x)=15 x . Starting with 3, provide the next five x-values that can be used to approximate 15 11√ . (2 points)
To approximate 15√11, we need to find x-values that will make the function g(x) equal to or close to 15√11.
Starting with x = 3, we can calculate g(3) as follows:
g(3) = 15 * 3 = 45
To find the next x-values, we can set up the equation:
15 * x = 15√11
Dividing both sides of the equation by 15:
x = √11
Using a calculator, we find that √11 is approximately 3.3166.
Therefore, the next five x-values that can be used to approximate 15√11 are:
x = 3.3166, 3.3166, 3.3166, 3.3166, 3.3166