Question

If


`f(x) = √(x) + 12`
and

`g(x) = 2 √(x)`
what is the value of

`(f - g)(144)`
?​

Answer 1

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`(f - g)(x) = √(x) + 12 - 2 √(x) \\`

`(f - g)(x) = - √(x) + 12`

`(f - g)(144) = - √(144) + 12`

`(f - g)(144) = - \sqrt{ {12}^(2) } + 12`

`(f - g)(144) = - (12) + 12`

`(f - g)(144) = - 12 + 12`

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

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Answer 2

0

Explanation:

We have the two functions:

`f(x)=√(x)+12\text{ and } g(x)=2√(x)`

And we want to find (f-g)(144).

This is the same thing to f(144)-g(144).

So, let’s determine the value of f(144) and g(144) first:

`\begin{aligned} f(144)&=√(144)+12 \\ &=12+12 \\ &=24\end{aligned}`

And:

`\begin{aligned} g(144)&=2√(144) \\ &=2(12) \\ &=24 \end{aligned}`

Hence:

`\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}`

Our final answer is 0.