The question in the image asks:

"How do we write in symbols the composite of the transformation $T_1$ followed by the transformation $T_2$? What does it mean?"

Answer:

1. The composite of two transformations $T_1$ followed by $T_2$ is written as: $T_2 \circ T_1$

2. This notation means that the transformation $T_1$ is applied first, and then the result is transformed by $T_2$. In other words, for an input $x$: $(T_2 \circ T_1)(x) = T_2(T_1(x))$

This concept is similar to function composition in mathematics, where the second transformation acts on the output of the first transformation.

Would you like further clarification or examples to better understand this? Here are related questions to explore:

1. What are examples of transformations in geometry?
2. How does matrix multiplication represent composition of linear transformations?
3. What is the inverse of a composite transformation?
4. How do transformations like reflections and rotations compose?
5. Can transformations always be composed in any order?

Tip: When composing transformations, remember that the order of composition often matters, especially in non-commutative operations like matrix transformations or geometric mappings.