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

Answer:

The value of function at x = -2 is $\frac{4}{3}$.

Step-by-step explanation:

Given : Function $Y=12\times 3^x$

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

Consider the given function $Y=12\times 3^x$

Since, y is a function in terms of x.

So, put x = - 2 in given function.

We get,

$Y=12\times 3^{-2}$

Since, $3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

$Y=12\times \frac{1}{9}$

Simplify, we have,

$Y=\frac{4}{3}$

Thus, The value of function at x = 2 is $\frac{4}{3}$.