Evaluate the Function f(x)=3(2)^x , x=-1

$f (x) = 3 {(2)}^{x}$ , $x = - 1$

Replace the variable $x$ with $- 1$ in the expression.

$f (- 1) = 3 {(2)}^{- 1}$

Simplify the result.

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$f (- 1) = 3 (\frac{1}{2})$

Combine $3$ and $\frac{1}{2}$ .

$f (- 1) = \frac{3}{2}$

The final answer is $\frac{3}{2}$ .

$\frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$