Answer :
Answer:
x = 6, x = -2
Step-by-step explanation:
Given the function;
f(x) = 3|x – 2| + 6
When x = 6
f(x) = 3|x – 2| + 6
= 3|6– 2| + 6
= 3(4) + 6
= 18
When x = -2
f(x) = 3|x – 2| + 6
= 3|-2 – 2| + 6
= 3(4) + 6
= 18
Therefore; both x= 6 and x= -2, will give f(x) = 18
Answer:
Solution:
x=-2 and x=6
Option 3 correct
Step-by-step explanation:
Given: The function, f(x)=3|x-2|+6
To find x when f(x)=18
Out the function equal to 18
3|x - 2| + 6 = 18
Now simplify the equation for x.
3|x - 2| + 6 -6 = 18 - 6 [subtraction property of equality]
3|x - 2| = 12 [Division property of equality]
|x - 2| = 4
It is absolute value function. It gives two solution one negative and one positive.
x - 2 = 4 or x - 2 = -4
x = 4+2 or x = -4+2
x = 6 or x = -2
Hence, The solution of x are -2 and 6