Answer: [tex]g(-1) = 13[/tex]
Step-by-step explanation:
The given function : [tex]g(x) = 2x^2 - 11x[/tex]
To find : g(-1)
i.e . To find the value of g(x) at x= -1.
For that we substitute x = -1 in the given function , then we have
[tex]g(-1) = 2(-1)^2 - 11(-1)[/tex]
[tex]\Rightarrow\ g(-1) = 2(-1\times-1) + 11\ \ [\because (-)(-)=(+)][/tex] [tex]\Rightarrow\ g(-1) = 2(1) + 11[/tex]
[tex]\Rightarrow\ g(-1) = 2+ 11[/tex]
[tex]\Rightarrow\ g(-1) = 13[/tex]
Therefore , the value of [tex]g(-1) = 13[/tex] .