Respuesta :
The given function in terms of x is [tex] f(x)=-2x^{2}+2x-3 [/tex]
We have to calculate f(5), it means in the given function we have to substitute the value of x as 5.
[tex] f(5)=(-2 \times5^{2})+(2 \times 5)-3 [/tex]
[tex] f(5)=-50+10-3 [/tex]
f(5) = -40-3
f(5) = -43.
So, the value of f(5) is -43.
So, option C is the correct answer.
The given function is in terms of x.
So the function is f(x)= [tex] -2x^{2}+2x-3 [/tex]
Find f(5), that means the value of x is 5
so plug in x =5 in the given function f(x),
f(x) = [tex] -2x^{2}+2x-3 [/tex]
f(5) = [tex] -2(5)^{2}+2(5)-3 [/tex]
f(5) = -2(5)(5) + 2(5) -3
f(5) = -2(25) + 10 -3
f(5) = -50 + 10 -3 (apply the rule of integers)
f(5) = -40 -3
f(5) = -43
Answer is option C.
