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

Question

3 years ago

13

on the bottom -2 at x=-3
A) f(-3)=4
B) f(-3)=9
C) (-3)= -1/3
D) f(-3)= -1/2

2 answers:

Katen [24] · Answer 1 · 2021-12-31T04:59:59+03:00

Katen [24]3 years ago

7 0

Answer:

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

Step-by-step explanation:

We are given the piecewise function as follows

$f(x)=\left\{\begin{matrix}\dfrac{1}{x}, &x$

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.

9966 [12] · Answer 2 · 2021-12-31T03:27:06+03:00

9966 [12]3 years ago

4 0

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