Given the function f(x) = 2|x + 6| - 4, for what values of x is f(x) = 6?

Solution:

A function is defined as a relation between a set of inputs having one output each.

Given: f(x) = 2|x + 6| - 4

f(x) = 6

By equating both we get

2|x + 6| - 4 = 6

By further calculation

2|x + 6| = 6 + 4

2|x + 6| = 10

Dividing both sides by 2

|x + 6| = 5

So we get

x + 6 = 5 or -5

x = 5 - 6 = -1 or x = -5 - 6 = -11

Therefore, the value of x is -1 or -11.

---

Given the function f(x) = 2|x + 6| - 4, for what values of x is f(x) = 6?

Summary:

The value of x is -1 or -11 for given the function f(x) = 2|x + 6| - 4 for f (x) = 6.