Sure! Let's evaluate each function for the specified values using function notation step-by-step.
1. For the function [tex]\( f(x) = 4x - 3 \)[/tex]:
- Evaluate [tex]\( f(0) \)[/tex]:
[tex]\[
f(0) = 4(0) - 3 = -3
\][/tex]
- Evaluate [tex]\( f(2) \)[/tex]:
[tex]\[
f(2) = 4(2) - 3 = 8 - 3 = 5
\][/tex]
- Evaluate [tex]\( f(4) \)[/tex]:
[tex]\[
f(4) = 4(4) - 3 = 16 - 3 = 13
\][/tex]
2. For the function [tex]\( g(x) = 5x + 2 \)[/tex]:
- Evaluate [tex]\( g(-3) \)[/tex]:
[tex]\[
g(-3) = 5(-3) + 2 = -15 + 2 = -13
\][/tex]
- Evaluate [tex]\( g(0) \)[/tex]:
[tex]\[
g(0) = 5(0) + 2 = 0 + 2 = 2
\][/tex]
- Evaluate [tex]\( g(1) \)[/tex]:
[tex]\[
g(1) = 5(1) + 2 = 5 + 2 = 7
\][/tex]
So, the evaluated values are:
- [tex]\( f(0) = -3 \)[/tex]
- [tex]\( f(2) = 5 \)[/tex]
- [tex]\( f(4) = 13 \)[/tex]
- [tex]\( g(-3) = -13 \)[/tex]
- [tex]\( g(0) = 2 \)[/tex]
- [tex]\( g(1) = 7 \)[/tex]
Hence, the result for these evaluations is:
[tex]\[
(-3, 5, 13, -13, 2, 7)
\][/tex]
