Question

A mapping is defined by f(x) = 3x + 1 on the set (-3, -1, 0, 1). Which number of the set satisfies f(x) = -2?

A) -3
B) -1
C) 0
D) 1

Answer 1

The number from the set (-3, -1, 0, 1) that satisfies f(x) = -2 is -1. Hence, option B) is correct.

Step-by-step explanation:

To find the number that satisfies the equation f(x) = -2, we need to substitute -2 for f(x) and solve for x.

The given function is f(x) = 3x + 1.

So, we have -2 = 3x + 1.

Subtracting 1 from both sides, we get -3 = 3x.

Dividing both sides by 3, we find x = -1.

Therefore, the number from the set (-3, -1, 0, 1) that satisfies f(x) = -2 is option B) -1.