Answer:
Tipo de función: Función Constante o Función Polinómica de Orden Cero
Dominio: 
Codominio: 
Asíntota: 
Raíces: No tiene.
Vértices: No tiene.
La tabla de valores y el gráfico se encuentran adjuntos al fondo.
Step-by-step explanation:
Sea 
, el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son y . No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función () y carece de raíces al ser 
para todo 
.
Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:
x -2 -1 0 1 2
y 4 4 4 4 4
We have been given a quadratic function 
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is 
.
If we restrict the domain of this function to either ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
or 
, it will become one to one function.
Let us know find its inverse.
Upon interchanging x and y, we get:
Let us now solve this function for y.
Hence, the inverse function would be 
if we restrict the domain of original function to and the inverse function would be 
if we restrict the domain to .
The improper fraction to that is 167/3
If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
G(x) = 3x + 4
g(-4) = 3(-4) + 4
g(-4) = -12 + 4
g(-4) = -8
