Respuesta :

apologiabiology
remember, if a=|b| assume
a=b and -a=b

so


f(x)=7
7=0.5|x-4|-3
add 3 to both sides
10=0.5|x-4|
divide both sides by 0.5 (or times both sides by 2)
20=|x-4|
therefor

20=x-4 and -20=x-4
add 4 to both sidesr
24=x and -16=x


the values are at x=-16 and 24

x= (-16) or 24.

What is the absolute value of a function?

An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line.

0.5|x – 4| – 3=7

0.5|x-4|=7+3

0.5|x-4|=10

|x-4|=10/0.5

|x-4|=20

this implies,

x-4=-20 i.e. x=-20+4 or x=-16

and

x-4=20 i.e. x=20+4 or x=24

so the answer is 24 or -16.

To learn more about the absolute value function please follow: brainly.com/question/7255544

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