if (f(x)=sqrt{x}+12) and (g(x)=2sqrt{x}), what is the value of ((f - g)(144)?\n-84\n-60\n0\n48

Explanation:

Step1: Recall the definition of function - difference

$(f - g)(x)=f(x)-g(x)$. So, $(f - g)(144)=f(144)-g(144)$.

Step2: Calculate $f(144)$

Given $f(x)=\sqrt{x}+12$, substitute $x = 144$. Then $f(144)=\sqrt{144}+12$. Since $\sqrt{144}=12$, $f(144)=12 + 12=24$.

Step3: Calculate $g(144)$

Given $g(x)=2\sqrt{x}$, substitute $x = 144$. Then $g(144)=2\sqrt{144}$. Since $\sqrt{144}=12$, $g(144)=2\times12 = 24$.

Step4: Calculate $(f - g)(144)$

$(f - g)(144)=f(144)-g(144)=24-24 = 0$.

Answer:

0