# Given the function #f(x)= 0.5abs(x -4)-3#, for what values x is f(x)=7?

##### 1 Answer

Dec 13, 2016

#### Explanation:

Given

Now, we must isolate the absolute value term while keeping the equation balanced:

Because the absolute value function converts any number to a positive number we must solve the term within the absolute value for both 20 and -20:

and