Given the function f (x) = - 0.5|2x + 2| + 1, for what values of x is f (x) = 6? x = 6, x = - 5 x = 5, x = - 5 x = 7, x = - 6 no solution

Question

Sam Henry

Mathematics

31 January, 05:59

Given the function f (x) = - 0.5|2x + 2| + 1, for what values of x is f (x) = 6? x = 6, x = - 5 x = 5, x = - 5 x = 7, x = - 6 no solution

+5

Answers (1)

Know the Answer?

Sawyer Thomas · Answer 1

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = - 10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.