Given the function f(x)=3|x-2| +6, for for(x)= 18

William Curry

William Curry

Answered question

2021-12-08

Given the function f(x)=3|x-2| +6, for for(x)= 18

Answer & Explanation

Jeremy Merritt

Jeremy Merritt

Beginner2021-12-09Added 31 answers

Step 1
Given function is:
Plugging f(x) = 18 in the equation and solving for x:
f(x)=3|x-2|+6
18=3|x-2|+6
3|x-2|+6-6=18-6
3|x-2|=12
3|x2|3=123
|x-2|=4
Step 2
The solution for the absolute value equation |y| = a is given by y = + a, - a.
Hence,
x-2=4 or x-2=-4
x-2+2=4+2 or x-2+2=-4+2
x=6 or x=-2
Step 3
Answer:
x = -2, 6

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