Question

Given the function f(x) = 0.5 |x– 4| – 3, for what values of x is f(x) =7

O x = -24, x = 16

O x= -16, x = 24

O x= -1, x = 9

O x= 1, x= -9

Answer 1

-16,24 B

Explanation:

To solve this simplify the equation until it's just the absolute value brackets

7=.5 |x-4|-3

Add 3 to both sides and divide by .5 to get

20=|x-4|

Then solve this equation where the leftmost side is a positive and then a negative

So 20=x-4

x=24

24 is one of our answers

Then solve it when the left side is a negative

-20=x-4

x=-16 which is the other answer