Question

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

O x=-1, x= 11
O x=-1, x=-11
O x=14, x =-26
O x= 26, x =-14

Answer 1

To find when f(x) equals 6, we solved the equation 2x + 6 - 4 = 6 for x and found that x should be 2. However, this value is not listed in the provided options, suggesting an error in the question or answer choices.

Step-by-step explanation:

The question asks for the values of x for which the function f(x) = 2x + 6 evaluates to 6. To find these values, we set up the equation 2x + 6 - 4 = 6 and solve for x.

1. First, add 4 to both sides of the equation to isolate the term with x: 2x + 6 = 10.
2. Next, subtract 6 from both sides: 2x = 4.
3. Finally, divide both sides by 2 to solve for x: x = 2.

However, none of the provided options contain x = 2. It appears there might be a typo or mistake in the question or the options provided. Based on the information given, we cannot accurately determine the correct pair of x values that would make f(x) = 6.