No solution is 3x + 4
One solution is 2x + 4
Infinitely many solution is 3x + 5
Step-by-step explanation:
I believe it’s reflection and Rotation.
Recall the definition of the composition between two functions:

Similarly, but not always the same:

Use the rules of correspondence of the functions f and g to find the compositions:

Then:

On the other hand:

Therefore, the answers are:
The matrix given is
![\left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%5C%5C1%264%5Cend%7Barray%7D%5Cright%5D%20)
To find determinant
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20)
we do

So, the determinant of the given matrix is