Question

Help need help ASAP please it’s with math

Answer 1

(f-g)(144)=0 is the answer which is option C

Explanation:

Given:

f(x) =
`√(x)` + 12

g(x)=
`2*√(x)`

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)=
`√(x)` + 12

And

f(144) =
`√(144)` + 12

f(144)=12+12

f(144) = 24

Now

g(x)=
`2*√(x)`And

g(144) =
`2*√(144)`

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