Read the information given below and answer the questions that follow:f(a, b) = a2 + b2 - abg(a, b) = 3abh(a, b) = -ab Q 52. Determine the value of (f(a, b) + h(a, b)) for a = 9 and b = 7. Ops: A. 2 B. -4 C. -2 D. 4
Question
Read the information given below and answer the questions that follow:f(a, b) = a2 + b2 - abg(a, b) = 3abh(a, b) = -ab Q 52. Determine the value of (f(a, b) + h(a, b)) for a = 9 and b = 7. Ops: A. 2 B. -4 C. -2 D. 4
Solution
To solve this problem, we first need to substitute the given values of a and b into the equations for f(a, b) and h(a, b).
First, let's find the value of f(a, b) when a = 9 and b = 7.
f(a, b) = a^2 + b^2 - ab f(9, 7) = 9^2 + 7^2 - 9*7 f(9, 7) = 81 + 49 - 63 f(9, 7) = 67
Next, let's find the value of h(a, b) when a = 9 and b = 7.
h(a, b) = -ab h(9, 7) = -9*7 h(9, 7) = -63
Finally, let's add these two results together to find the value of (f(a, b) + h(a, b)) when a = 9 and b = 7.
(f(a, b) + h(a, b)) = f(9, 7) + h(9, 7) (f(a, b) + h(a, b)) = 67 + (-63) (f(a, b) + h(a, b)) = 4
So, the value of (f(a, b) + h(a, b)) for a = 9 and b = 7 is 4. Therefore, the correct answer is D. 4.
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