Question

For the function f(x)=|4x−2|+10, evaluate f(−3).

Answer 1

`f(-3)=24`

Explanation:

So we have the function:

`f(x)=|4x-2|+10`

To find f(-3), substitute -3 for x:

`f(-3)=|4(-3)-2|+10`

Multiply within the absolute value:

`f(-3)=|-12-2|+10`

Subtract:

`f(-3)=|-14|+10`

The absolute value of -14 is 14. Thus:

`f(-3)=14+10`

Add:

`f(-3)=24`

And we're done!