Answer:
Explanation:
To find g(x) in the equation (3x - 1) * g(x) = 3x^2 - 22x + 7, we need to isolate g(x) on one side of the equation.
1. Distribute the (3x - 1) term on the left side of the equation:
3x * g(x) - g(x) = 3x^2 - 22x + 7
2. Combine like terms on the left side:
(3x - 1) * g(x) - g(x) = 3x^2 - 22x + 7
3. Factor out g(x) on the left side:
[3x * g(x) - g(x)] = g(x) * (3x - 1)
4. Set the equation equal to the right side of the equation:
g(x) * (3x - 1) = 3x^2 - 22x + 7
5. Divide both sides of the equation by (3x - 1) to isolate g(x):
g(x) = (3x^2 - 22x + 7) / (3x - 1)
Therefore, the function g(x) is equal to (3x^2 - 22x + 7) divided by (3x - 1).