Question

**URGENT** Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18? x = –2, x = –8 x = –2, x = –6 x = –2, x = 6 x = –2, x = 8

Answer 1

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 2

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