Question

Use the function below to find F(-2). F(x) = 5x A. B. -25 10 D. D. -10

Answer 1

Hello!

We have the function:

`f(x)=5^x`

To solve it, we must replace where's x by -2, look:

`f(-2)=5^(-2)`

As we have a negative sign, let's write the inverse of it:

`((5)/(1))^(-2)\rightarrow((1)/(5))^2`

So, we'll have:

`\begin{gathered} f(-2)=((1)/(5))^2 \\ \\ f(-2)=(1)/(5)\cdot(1)/(5) \\ \\ f(-2)=(1\cdot1)/(5\cdot5) \\ \\ \boxed{f(-2)=(1)/(25)} \end{gathered}`

Answer:

1/25.