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

Answer:

C. $f(-3)=\dfrac{-1}{3}$

Step-by-step explanation:

We are given the piecewise function as follows

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

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,

$f(x)=\dfrac{1}{x}$.

Thus, we get,

$f(-3)=\dfrac{1}{-3}=\dfrac{-1}{3}$

Hence, option C is correct.