Answer:
-66 & -174
Explanation:
To find the value of the function g(x) within the given range x = [4, 6], we need to substitute each value of x into the function and solve for g(x).
Given the function g(x) = x² - 6x² - 4x + 30, let's substitute x = 4:
g(4) = (4)² - 6(4)² - 4(4) + 30
= 16 - 6(16) - 16 + 30
= 16 - 96 - 16 + 30
= -66
Now let's substitute x = 6:
g(6) = (6)² - 6(6)² - 4(6) + 30
= 36 - 6(36) - 24 + 30
= 36 - 216 - 24 + 30
= -174
Therefore, the values of g(x) within the given range x = [4, 6] are -66 and -174.