Question

if \\(f(x) = \sqrt{x} + 12\\) and \\(g(x) = 2\sqrt{x}\\), what is the value of \\((f - g)(144)\\)?

-84
-60
0
48

Explanation:

Define the function subtraction formula

$$ (f - g)(x) = f(x) - g(x) $$

Substitute the given functions

$$ (f - g)(x) = (\sqrt{x} + 12) - 2\sqrt{x} = 12 - \sqrt{x} $$

Evaluate the expression at x = 144

$$ (f - g)(144) = 12 - \sqrt{144} = 12 - 12 = 0 $$

Answer:

• -84
• -60
• 0 (Correct answer)
• 48