If f(x) = 2x2 - x - 6 and g(x) = x2 - 4, find f(x) ÷ g(x).

The expression is .

In this question we apply the concept of Division of Functions, then we Factor and Simplify the resulting expression:

(1)

If we know that and , then the resulting function is:

The expression is .

Please see this question related to Function Operations: link

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.

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation: