Question

If f(x)=sq rt(x)+12 and g(x)=2 sq rt2, what is the value of (f - g)(144)?

Answer 1

To find the value of (f-g)(144), we need to substitute 144 into the expressions for f(x) and g(x) and then subtract them.

Given:

f(x)=sqrt(144) + 12=12+12=24

Now find g(144):

g(144) = 2sqrt(2)

Now subtract g(144) from f(144):

(f-g)(144)=f(144)-g(144)=24-2sqrt(2)

so

(f-g)(144)= 24 - 2sqrt(2)

Answer 2

To find the value of (f - g)(144), substitute 144 into f(x) and g(x), then subtract the results.

Step-by-step explanation:

To find the value of (f - g)(144), we need to substitute 144 into the functions f(x) and g(x) and then subtract g(x) from f(x). Starting with f(x), we substitute x = 144 and calculate: f(144) = sqrt(144) + 12 = 12 + 12 = 24. Next, we substitute x = 144 into g(x) and calculate: g(144) = 2 * sqrt(2) = 2 * 1.414 = 2.828. Finally, we subtract g(144) from f(144): (f - g)(144) = 24 - 2.828 = 21.172.