Question

use the function below to find f(–2). f(x) = 3^x.

Answer 1

When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.

For example:

$x^{-2}$ or $\frac{x^{-2}}{1} =\frac{1}{x^2}$

$\frac{1}{y^{-3}} =\frac{y^3}{1}$ or y³

f(-2) This means that x is -2, so you can plug in -2 for "x" in the equation

$f(x)=3^x$

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

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

$f(-2)=\frac{1}{9}$

Your answer is D

Answer 2

The value of the function f(-2) will be 1/9

What is a function?

A mathematical relationship from a set of inputs to a set of outputs is called a function.

How to find the value of f(-2) ?

The given function is f(x) = $3^{x}$

• To find f(-2) , we will have to put -2 in place of x

∴ f(-2) will be = $3^{-2}$

• Now, we know that $a^{-b}$ can be written as  $\frac{1}{a^{b} }$

So,  $3^{-2}$ will be equal to 1/9

∴ The value of f(-2) will be 1/9

Option D is correct.

Find more about "Functions" here: brainly.com/question/4025726

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