Question

If f(x) = √x + 12 and g(x) = 2√x, what is the value of (f-g)(144)? -84 –60 0 48

Answer 1

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

$0$

Answer 2

I hope this helps you



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