Answer:

Step-by-step explanation:
<u>The Inverse of a Function</u>
Given a function f(x), the inverse of f, called
is a function that satisfies:

The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:

Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):

Multiplying by 2:

Squaring both sides:

Subtracting 3:

Swapping variables:

Thus:

The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0
Answer: <span>rotation and dilation.
While rotation only rotates (obviously) the figure, dilation preserves the shape of the figure (that is, preserves the angles) but changes the distances: it makes the figure smaller.
</span>
The other 2 sequences of transformations only change the position of the figure, but the angles and distances remain intact.
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Cubes have 6 numbers
3 odd, 3 even
probablity=desiredoutcome/totalpossibleoutcomes
there are 6 total desired outcomes (3 on each cube)
total possible, there are 6*6 or 36 total possible outcomes
so 6/36 or 1/6 chance