Respuesta :

kphung76127
The first thing we must do is evaluate 3^-2.
3^-2= 1/(3^2)
3^-2=1/9
Now plus this value in to the rest of the equation.
y=12*1/9
12/9 simplifies to 4/3
y=4/3

Answer:

The value of function at x = -2 is [tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Given : Function [tex]Y=12\times 3^x[/tex]

We have to evaluate the given function at x = - 2

Consider the given function [tex]Y=12\times 3^x[/tex]

Since, y is a function in terms of x.

So, put x = - 2 in given function.

We get,

[tex]Y=12\times 3^{-2}[/tex]

Since, [tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

[tex]Y=12\times \frac{1}{9}[/tex]

Simplify, we have,

[tex]Y=\frac{4}{3}[/tex]

Thus, The value of function at x = 2 is [tex]\frac{4}{3}[/tex].