For the first question
1/x-3, x cannot equal +3. As that would make the denominator 0.
For the second question.
Substitute f(x) into g(x) to get:
x^2 - 3
The answer is C. $7.65! Hope this helps(:
The Answer Is 7.5
Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.
64+d^2=289
d^2=225
d=15
15/2=7.5
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
