Question

Find f(-5) if f(x) =|x+1|

Answer 1

Answer:
`f(-5)=4`

Explanation:

Given an Absolute value function
`f(x)=|x|`, it is important to remember that the absolute value of "x" is the distance from zero to "x", therefore:

`x\geq0`

In this case you have this Absolute value function:

`f(x) =|x+1|`

In order to find
`f(-5)` it is necessary to substitute
`x=-5` into this function.

Therefore, you get:

`f(-5) =|-5+1|\\\\f(-5) =|-4|\\\\f(-5)=4`

Answer 2

To solve this replace x with -5 like so...

f(-5) = | - 5 + 1 |

First solve inside the absolute value bars

f(-5) = | - 4 |

The absolute value bars mean that you must take the positive number of the value inside the bars...

The positive number of -4 is 4 so...

f(-5) = 4

Hope this helped!

~Just a girl in love with Shawn Mendes