Answer:
6 inches.
Step-by-step explanation:
We have been given that area of a circle is 113.04 cubic inches and we are asked to find the radius of the circle.
We will use area of circle formula to find the radius of our circle.
Upon substituting the area of given circle we will get,
Substituting we will get,
Upon taking square root of both sides of our equation we will get,
Since the radius of the circle can not be negative, therefore, the radius of circle will be 6 inches.
Given : g(x) = and h(x)=2x-8.
Let us find g*h(x) function now.
g*h(x) = g(x) * h(x) =
Or g*h(x) =(2x-8).
He have square root(x-4) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-4≥0.
Adding 4 on both sides, we get
x-4+4≥0+4.
x≥4.
Therefore, Domain is all values greater than or equal to 4.
But, restrictions would be all values less than 4 (because less than 4 would give a negative number inside square root).