Answer:
We conclude that:
- [tex]f\left(-3\right)=77[/tex]
Step-by-step explanation:
Given the function
[tex]f(x) = 11 - 6(x - 8)[/tex]
Important Tip:
- In order to determine f(-3), all we need is to substitute x = -3 in the function equation
substitute x = -3 in the equation
[tex]f(x) = 11 - 6(x - 8)[/tex]
[tex]f(-3) = 11 - 6(-3 - 8)[/tex]
[tex]f\left(-3\right)\:=\:11-\left(-66\right)[/tex]
[tex]f\left(-3\right)\:=\:11+66[/tex] ∵ Apply rule -(-a) = a
[tex]f\left(-3\right)=77[/tex]
Therefore, we conclude that:
- [tex]f\left(-3\right)=77[/tex]
