Marcella Marcella
  • 05-01-2024
  • Mathematics
High School

Given the function [tex]f(x) = 4|x - 5| + 3[/tex], for what values of [tex]x[/tex] is [tex]f(x) = 15[/tex]?

Answer :

sqdancefan sqdancefan
  • 06-11-2023

Answer:

{2, 8}

Step-by-step explanation:

We want to find x for ...

15 = 4|x -5| +3

12 = 4|x -5| . . . . subtract 3

3 = |x -5| . . . . . . divide by 4

±3 = x -5 . . . . . . show the meaning of absolute value

5 ±3 = x = {2, 8} . . . . . add 5

The values of x for which f(x) = 15 are 2 and 8.

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