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f (144)= square root of 144+12=12+12=24



g (144)=2.square root of144=2.12=24


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

calculista

we have

\(f(x)=\sqrt{x}+12\)

\(g(x)=2\sqrt{x}\)

we know that

\((f-g)(144)=f(144)-g(144)\) -------> equation A

Step 1

Find the value of \(f(144)\)

For \(x=144\)

substitute in f(x)

\(f(144)=\sqrt{144}+12\)

\(f(144)=12+12\)

\(f(144)=24\)

Step 2

Find the value of \(g(144)\)

For \(x=144\)

substitute in g(x)

\(g(144)=2\sqrt{144}\)

\(g(144)=2(12)\)

\(g(144)=24\)

Step 3

Find \((f-g)(144)\)

Substitute the values in the equation A

\(24-24=0\)

therefore

the answer is the option

\(0\)

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