Let g(x) = 2x2 - 11x. Find g(-1).
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 \(g(-1) = 13\) .