102k views
2 votes
Find a number x such that g(x) = -4

Find a number x such that g(x) = -4-example-1
User QMG
by
8.2k points

1 Answer

6 votes

Answer:

C: x = 7

Explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since
-1 \leq 0, we'll use the first equation.


g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1

As we can see, g(-1) is not -4.

Option 2: x = 3

Since
0 < 3 < 4, we'll use the 2nd equation.


g(x) = x-3\\g(3) = 3-3 = 0

Not -4.

Option 3: x = 7

Since
4 \leq 7, we'll use the 3rd equation.


g(x) = 3-x\\g(7) = 3-7 = -4

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since
4 \leq 4 (less than or equal to), we'll use the 3rd equation.


g(x) = 3-x\\g(4) = 3-4 = -1

User Dparpyani
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories