F(3) = 5
where 3 is the input and 5 is the output.
Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since
, we'll use the first equation.

As we can see, g(-1) is not -4.
Option 2: x = 3
Since
, we'll use the 2nd equation.

Not -4.
Option 3: x = 7
Since
, we'll use the 3rd equation.

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since
(less than <em>or equal to</em>), we'll use the 3rd equation.

Answer:

Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
Answer:

Step-by-step explanation:

Answer:
B (12)
Step-by-step explanation:
The expression can be written as the following:
(2n)(n-1)
Let n=3
(2*3)(3-1)=(6)(2)=12
So the answer is B (12).