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

option c is correct.

the values of x are: x = -2 and x =6 for which f(x) = 18

step-by-step explanation:

given the function:        

we have to find the the values of x for which f(x) = 18

substitute the value of f(x) =18 in [1] we get;

subtract 6 from both sides we get;

simplify:

an absolute value function states that   a function that contains an algebraic expression within absolute value.

it is defined as g(x)= |x|;

then by definition of absolute value, we have;

    and  

using distributive property

3x -6 = 12

3x = 18

divide both sides by 3 we get;

x = 6

similarly, for

-3x + 6 = 12

-3x = 12- 6

-3x = 6

divide both sides by -3 we get;

x = -2

therefore, the values of x are -2 and 6

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