If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (StartFraction f Over g EndFraction) (x)?

x≠5

or

Step-by-step explanation:

Both the answers above are correct, but the second is written in interval notation; there are also other ways to represent this same domain. The domain of a function are the possible x-values.

To find the domain, you must first find the new function. We are looking for . This means you need to divide f(x)'s rule by g(x)'s rule. This equals . To find the domain, remember that functions are undefined when the denominator is 0. So, x cannot equal 5 because this would make the denominator 0.

a - base

b - exponent

so,

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.