Determine the domain of the function f(x) = x^2 + 6x +5/x^2 - 25

a. (-1, 5)
b. (5, 5)
c. (-infinity, -1) u (-1,5) u (5, infinity)
d. (-infinity, -5) u (-5, 5) u (5, infinity)

The answer to your question is the last option

Step-by-step explanation:

Here there is a rational function so, we need to find the values where the denominator equals zero.

Factor                      (x - 5)(x + 5) = 0

                               x₁ - 5 = 0               x₂ + 5 = 0

The function does not exist in -5 and 5

                              x₁ = 5                    x₂ = -5

Domain

                      (  -∞ , -5) U (-5, 5) U (5, ∞)

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere