Consider the function y = 9 - x2, where x ≥ 3. what is the inverse of the function? what is the domain of the inverse? show all of your work for full credit.

Step-by-step explanation:

Given that y = 9 - x² where x ≥ 3 ⇒ y ≥ 0

To find the inverse, swap the x's and y's and solve for y inverse (y⁻¹)

The domain is the restriction on the x-values of the equation.  Since the radicand (term under the square root symbol) must be greater than or equal to 0, then

9 - x ≥ 0

9      ≥ x       ⇒     x ≤ 9

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.