Question

If f(x)=(-x)^3-x^2-x+15How do I find f(2)+f(-2) = to?

Answer 1

Given:

There are given the function:

`f(x)=(-x)^3-x^2-x+15`

Step-by-step explanation:

From the given operation:

`f(2)+f(-2)`

Then,

First, we need to find the value of f(2):

Then,

To find the value of f(2), we need to put 2 for x into the given function:

`\begin{gathered} f(x)=(-x)^(3)-x^(2)-x+15 \\ f(x)=(-2)^3-2^2-2+15 \\ f(x)=-8-4-2+15 \\ f(x)=-14+15 \\ f(x)=1 \end{gathered}`

And,

We need to find the value for f(-2).

So,

Put -2 for x into the given function:

Then,

`\begin{gathered} f(x)=(-x)^(3)-x^(2)-x+15 \\ f(-2)=(-(-2))^3-(-2)^2-(-2)+15 \\ f(-2)=8-4+2+15 \\ f(-2)=21 \end{gathered}`

Then,

`\begin{gathered} f(2)+f(-2)=1+21 \\ =22 \end{gathered}`

Final answer:

Hence, the correct option is 22.