What is the result of evaluating f of g of 12 if f(x) = sqrt(x - 3) and g(x) = x^2 + 3?

What is the result of evaluating f of g of 12 if f(x) = sqrt(x - 3) and g(x) = x^2 + 3?

• A. 10
• B. 11
• C. 12
• D. 13

Answer: (C)

To find the result of evaluating f(g(12)), we first need to calculate g(12). Given the function g(x) = x² + 3, we substitute 12 for x: g(12) = 12² + 3 g(12) = 144 + 3 g(12) = 147 Next, we take the result from g(12) and use it as the input for the function f. The function f(x) is defined as f(x) = √(x - 3). So now we need to evaluate f(147): f(147) = √(147 - 3) f(147) = √(144) f(147) = 12 Thus, the result of evaluating f(g(12)) is 12. This is why the answer is C.

To find the result of evaluating f(g(12)), we first need to calculate g(12). Given the function g(x) = x² + 3, we substitute 12 for x:

g(12) = 12² + 3

g(12) = 144 + 3

g(12) = 147

Next, we take the result from g(12) and use it as the input for the function f. The function f(x) is defined as f(x) = √(x - 3). So now we need to evaluate f(147):

f(147) = √(147 - 3)

f(147) = √(144)

f(147) = 12

Thus, the result of evaluating f(g(12)) is 12. This is why the answer is C.