Question

If g(x) = -4r" - 3x + 2, determine g(-2).

Answer 1

g(-2) =
`-4(-2)^2 - 3(-2) + 2 = -4(4) + 6 + 2 = -16 + 8 = -8`This process involves substituting the given value (-2 in this case) into the function in place of the variable x and performing the calculations following the order of operations (PEMDAS/BODMAS) to simplify the expression.

Explanation:

To find g(-2), substitute -2 for x in the function g(x) = -
`4x^2 - 3x + 2.`Plugging in -2 for x gives us g(-2) =
`-4(-2)^2 - 3(-2) + 2.` Simplifying the equation step by step, first square -2 to get (-
`2)^2 =`4. Then, multiply -4 by 4, resulting in -4(4) = -16. Next, multiply -3 by -2 to get +6. Finally, adding 2 to -16 + 6 gives us -8. Hence, g(-2) equals -8.

This process involves substituting the given value (-2 in this case) into the function in place of the variable x and performing the calculations following the order of operations (PEMDAS/BODMAS) to simplify the expression. Thus, plugging -2 into the function g(x) yields the output of -8.