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crimeas [40]
3 years ago
7

Find a number x such that g(x) = -4

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

C: x = 7

Step-by-step 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 <em>or equal to</em>), we'll use the 3rd equation.

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

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<em><u>Solution:</u></em>

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