A function is defined as
g
(
x
)
=
−
5.5
(
7
−
4
x
)
2
+
5.5
(
4
−
7
x
)
2
.
What is the value of
g
(
2
)
?
To find the value of g(2), we need to substitute x = 2 into the function g(x) and simplify:
g(2) = -5.5(7 - 4*2)^2 + 5.5(4 - 7*2)^2
g(2) = -5.5(7 - 8)^2 + 5.5(4 - 14)^2
g(2) = -5.5(-1)^2 + 5.5(-10)^2
g(2) = -5.5(1) + 5.5(100)
g(2) = -5.5 + 550
g(2) = 544.5
Therefore, the value of g(2) is 544.5.