If f (x) = ||x||, find f (-14)

f (-14) = 14

Step-by-step explanation:

Given

f (x) = ||x||

The || ... || sign represents the double modulus sign or sign of double absolute value.

The absolute value of any number returns the positive value of that number.

To solve this, we first find the inner modulus or absolute value then we find the outer modulus,

If f (x) = ||x||

Then f (x) = | (|x|) | where |x| represents the inner modulus;

To find f (-14).

The inner modulus is |-14|; This returns positive 14

|-14| = 14

Then we solve for the outer modulus (even though it doesn't change anything)

|14| = 14

So, f (-14) = | (|-14|) |

f (-14) = |14|

f (-14) = 14

14

Step-by-step explanation:

f (-14) = ||-14|| = |14| = 14