Question

What is f(-3) if f(x)=|2x+1|+5

Answer 1

\(\bf f(\color{red}{x})=|2\color{red}{x}+1|+5\\ \quad \\
f(\color{red}{-3}) = |2\color{red}{(-3)}+1|+5\)

Answer 2

ok so then what do i do next? cause i get confused with these problems

Answer 3

well, just multiply the 2 times -3, and expand
keep in mind that whatever you get inside the | bars |, will come out POSITIVE anyway
absolute values are always positive

Answer 4

so i do 2*-3 to get -6 then add the 1. but what do i do with the -3 and the f

Answer 5

f(-3) just means
whenever you encounter the "x" in the function, replace it for -3
which we already did

Answer 6

oh ok thanks for the help

Answer 7

\(\bf f(x)=|2x+1|+5\\ \quad \\
f(-3) = |2(-3)+1|+5\implies f(-3) = |-6+1|+5\\\quad \\
\implies f(-3) = |-5|+5\implies f(-3) = 5+5\)

Answer 8

thank you.

Answer 9

yw