Verified Answer :

g(x) = 2x^2 - 11x 
g(-1) = 2(-1)^2 - 11(-1) 
g(-1) = 2(1) - (-11) 
g(-1) =2 + 11 = 13

Answer: \(g(-1) = 13\)

Step-by-step explanation:

The given function : \(g(x) = 2x^2 - 11x\)

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

\(g(-1) = 2(-1)^2 - 11(-1)\)

\(\Rightarrow\ g(-1) = 2(-1\times-1) + 11\ \ [\because (-)(-)=(+)]\) \(\Rightarrow\ g(-1) = 2(1) + 11\)

\(\Rightarrow\ g(-1) = 2+ 11\)

\(\Rightarrow\ g(-1) = 13\)

Therefore , the value of  \(g(-1) = 13\) .