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

Solution:

x=-2 and x=6

Option 3 correct

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

Answer 2

x = 6, x = -2

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