Question

Evaluate the function rule for the given value. Y=12×3^x for x=-2

Answer 1

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 2

The value of function at x = -2 is
`(4)/(3)`.

Explanation:

Given : Function
`Y=12* 3^x`

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

Consider the given function
`Y=12* 3^x`

Since, y is a function in terms of x.

So, put x = - 2 in given function.

We get,

`Y=12* 3^(-2)`

Since,
`3^(-2)=(1)/(3^2)=(1)/(9)`

`Y=12* (1)/(9)`

Simplify, we have,

`Y=(4)/(3)`

Thus, The value of function at x = 2 is
`(4)/(3)`.