Question

Let g and h be the functions defined by g(x)=-x²-2x 3. What is the value of g(3)?

Answer 1

The value of the function g(x) when x = 3 is -12. This was found by substituting 3 into the function's formula and performing the appropriate calculations: g(3) = -3² - 2×3 + 3 = -12.

Step-by-step explanation:

To find the value of the function g(x) at x = 3, we substitute 3 into the function's formula. The function given is g(x) = -x² - 2x + 3. Let's calculate the value step-by-step.

First, we square the value of x:

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Next, we multiply this by -1 (as per the function's definition, which has a negative in front of the x² term):

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Then, we multiply x by -2:

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Now, we add up all the terms, including the plus 3 from the function's formula:

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So, g(3) = -12.