Answer:
g(-x) = 7x² + 6x
Explanation:
To find g(-x), we substitute -x for x in the given function g(x) = -7x² - 6x.
g(-x) = -7(-x)² - 6(-x)
Let's simplify this step by step:
1. Simplify the expression -x²:
-x² = -1 * x * x = -1x² = -x²
2. Substitute -x² back into the equation:
g(-x) = -7(-x²) - 6(-x)
3. Simplify the expression -7(-x²):
-7(-x²) = -7 * -x² = 7x²
4. Simplify the expression -6(-x):
-6(-x) = -6 * -x = 6x
5. Substitute the simplified expressions back into the equation:
g(-x) = 7x² + 6x
Therefore, g(-x) = 7x² + 6x.