Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.

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04-04-2022
Mathematics

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Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.

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jainveenamrata jainveenamrata · Answer 1 · 2022-04-07T03:20:48-04:00

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

0.5 |x – 4| = 10

|x – 4| = 20

x – 4 = ±20

For positive signs, we have

x – 4 = 20

x = 24

For negative signs, we have

x – 4 = –20

x = –16

More about the function link is given below.

https://brainly.com/question/5245372

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What is a function?

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