Question

Evaluate the piecewise function at the indicated value from the domain: f(x)=[1/x, if x<-2 x^2, if x> with the equal sign on the bottom -2 at x=-3

A) f(-3)=4
B) f(-3)=9
C) (-3)= -1/3
D) f(-3)= -1/2

Answer 1

The answer is B. I hope I've helped you.

Answer 2

C.
`f(-3)=(-1)/(3)`

Explanation:

We are given the piecewise function as follows

`f(x)=\left\{\begin{matrix}(1)/(x), &x<-2 \\ \\x^2, & x\geq -2\end{matrix}\right.`

It is required to find the value of f(-3).

Since, we know that -3 < -2.

So, the function corresponding to x= -3 is given by,

`f(x)=(1)/(x)`.

Thus, we get,

`f(-3)=(1)/(-3)=(-1)/(3)`

Hence, option C is correct.