Question

Help please picture attached

Answer 1

0

Explanation:

Substitute x = 144 into the expression for f(x) - g(x)

`√(144)` + 12 - 2
`√(144)`

= 12 + 12 - (2 × 12)

= 12 + 12 - 24

= 0

Answer 2

Hello!

The answer is: The third option, 0.

Why?

We are asked to find (f-g) evaluated in 144, so the definition states that:

`(f-g)(x)=f(x)-g(x)`

So,

`f(x)-g(x)=√(x) +12-2√(x)=-√(x) +12`

We must remember that evaluating a function means replacing the variable with the given value, for this case it's 144.

Then, evaluating:

`(f-g)(144)=-√(144)+12=-12+12=0`

Hence, if:

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

The correct option is the third option, 0.

Have a nice day!