Respuesta :

Applying the definition, it is found that at [tex]x = 3[/tex], the value of the function is 9.

The definition of the piece-wise function is:

[tex]f(x) = x^2, x < 3[/tex]

[tex]f(x) = 6x - 9, x \geq 3[/tex]

At x = 3, it enters the second definition, thus:

[tex]f(3) = 6(3) - 9 = 18 - 9 = 9[/tex]

Thus, the value of the function is 9.

A similar problem is given at https://brainly.com/question/25029892