Warrior Warrior
  • 19-01-2024
  • Mathematics
Middle School

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

Answer :

DevonFen DevonFen
  • 23-09-2024

Answer:2,8

Step-by-step explanation:

Given that [tex]f(x)=4|x-5|+3[/tex]

We need the values of [tex]x[/tex] for which [tex]f(x)=15[/tex].

So,

[tex]15=4|x-5|+3[/tex]

[tex]12=4|x-5|[/tex]

[tex]|x-5|=3[/tex]

If [tex]x\geq 5,[/tex]

[tex]x-5=3\\x=8[/tex]

If [tex]x< 5,[/tex]

[tex]5-x=3\\x=2[/tex]

So,[tex]2,8[/tex] are the solutions

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