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

x = - 16 , x = 24

Step-by-step explanation:

Given

f(x) = 0.5| x - 4 | - 3  and f(x) = 7, then equating gives

0.5|x - 4 | - 3 = 7 ( add 3 to both sides )

0.5| x - 4 | = 10 ( divide both sides by 0.5 )

| x - 4 | = 20

The expression inside the absolute value can be positive or negative, that is

x - 4 = 20 or - (x - 4) = 20

solving both

x - 4 = 20 ( add 4 to both sides )

x = 24

or

- (x - 4) = 20

- x + 4 = 20 ( subtract 4 from both sides )

- x = 16 ( multiply both sides by - 1 )

x = - 16

20 is your answer

Step-by-step explanation: