Question

Given the function f(x) = 0.5|x - 4| + 6, for what values of x is f(x) = 7

Answer 1

6 or 2

Explanation:

f(x) = 0.5|x - 4| + 6

0.5|x - 4| + 6 = 7

0.5|x - 4| = 7-6

0.5|x - 4| = 1

|x - 4| = 2

x -4 = ± 2

x-4 = 2 ==> x = 6

x-4 = -2 => x = 2

so the value of x = 6 or 2