Read the following information carefully and answer the questions that follow: f(a, b) = (a2 + 2ab + 3b2) g(a, b) = (a + b2) Q 25. Determine the value of [f(a, b) * g(a, b)] when a = 2 and b = 4. Ops: A. 646 B. 864 C. 1224 D. 432
Question
Read the following information carefully and answer the questions that follow:
f(a, b) = (a2 + 2ab + 3b2) g(a, b) = (a + b2)
Q 25. Determine the value of [f(a, b) * g(a, b)] when a = 2 and b = 4. Ops: A. 646 B. 864 C. 1224 D. 432
Solution
First, we need to substitute the values of a and b into the functions f(a, b) and g(a, b).
Let's start with f(a, b) = (a^2 + 2ab + 3b^2). Substituting a = 2 and b = 4, we get:
f(2, 4) = (2^2 + 224 + 3*4^2) = (4 + 16 + 48) = 68.
Next, let's substitute a = 2 and b = 4 into g(a, b) = (a + b^2). We get:
g(2, 4) = (2 + 4^2) = (2 + 16) = 18.
Finally, we need to find the value of [f(a, b) * g(a, b)] which is [f(2, 4) * g(2, 4)] = 68 * 18 = 1224.
So, the answer is C. 1224.
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