Final answer:
To find (f - 9)(c), substitute the values given into the equations and calculate the expression. The correct answer is option a. 23 + 3x^2 - 2x + 4.
Step-by-step explanation:
To find (f - 9)(c), we first need to determine the value of f - 9. Given that f(x) = 2:3 - 2x and g(2) = 2.2.3 + 3.0 42 + 2, we can substitute the values into the equation. We have f = 2:3 - 2x and g(2) = 23 + 3(0)42 + 2. Then, we calculate f - 9 by substituting f = 2:3 - 2x into (f - 9). Finally, we substitute c into (f - 9) to find the final expression.
After performing the necessary calculations, we find that the expression (f - 9)(c) simplifies to 23 + 3x^2 - 2x + 4. Therefore, the correct answer is option a. 23 + 3x^2 - 2x + 4.