Answer:
The answer is
[tex] \huge \boxed {f( - 2) = 34}[/tex]
Step-by-step explanation:
[tex]f(x) = 3 {x}^{2} - 5x + 12[/tex]
To find f(-2) , substitute the value of x that's - 2 into f(x), that is for every x in f(x) replace it with - 2
We have
[tex]f( - 2) = 3 ({ - 2})^{2} - 5( - 2) + 12 \\ = 3(4) + 10 + 12 \\ = 12 + 22 \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex]f( - 2) = 34[/tex]
Hope this helps you
