Question

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

Answer 1

Answer:

$f(-3)=24$

Step-by-step 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!