Answer:
[tex]f(-3)=24[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=|4x-2|+10[/tex]
To find f(-3), substitute -3 for x:
[tex]f(-3)=|4(-3)-2|+10[/tex]
Multiply within the absolute value:
[tex]f(-3)=|-12-2|+10[/tex]
Subtract:
[tex]f(-3)=|-14|+10[/tex]
The absolute value of -14 is 14. Thus:
[tex]f(-3)=14+10[/tex]
Add:
[tex]f(-3)=24[/tex]
And we're done!
