Question

If `f(x) = 8 - 3|x+2|`, what is `f(-6)`?

Answer 1

See a solution process below:

Explanation:

To find `f(-6)` substitute `color(red)(-6)` for each and every occurrence of `color(red)(x)` in `f(x)` and calculate the result:

`f(color(red)(x)) = 8 - 3abs(color(red)(x) + 2)` becomes:

`f(color(red)(-6)) = 8 - 3abs(color(red)(-6) + 2)`

`f(color(red)(-6)) = 8 - 3abs(-4)`

`f(color(red)(-6)) = 8 - (3 * 4)`

`f(color(red)(-6)) = 8 - 12`

`f(color(red)(-6)) = -4`