Answer:
(f-g)(144)=0 is the answer which is option C
Step-by-step explanation:
Given:
f(x) = [tex]\sqrt{x}[/tex] + 12
g(x)=[tex]2*\sqrt{x}[/tex]
To find:
(f-g)(144) = ?
Solution:
In the System of functions there Is proved that two functions can be subtracted like simply two numbers
which means that
(f-g)(x) simple means that subtraction of two functions and it could also be written as
(f-g)(x) = f(x)- g(x)
this is proved mathematically
Now in our problem
we have to find the value of
(f-g)(144)
which is equal to
(f-g)(144) = f(144)-g(144)
Now
f(x)= [tex]\sqrt{x}[/tex] + 12
And
f(144) = [tex]\sqrt{144}[/tex] + 12
f(144)=12+12
f(144) = 24
Now
g(x)= [tex]2*\sqrt{x}[/tex]And
g(144) = [tex]2*\sqrt{144}[/tex]
g(144)=2*12
g(144)= 24
Now putting these values in
(f-g)(144) = f(144)-g(144)
= 24 -24
(f-g)(144)=0
