Question

Help. What’s the correct answer?

Answer 1

`f(g(24))` = -36

Explanation:

We are given the following functions and we are to find
`f(g(24))`:

`f ( x ) = - 9 x + 9`

`g ( x ) = √(x+1)`

Now finding
`f ( g ( 2 4 ) )`:

`f ( g ( 2 4 ) )`
`= - 9 \sqrt { x + 1 } + 9`

`= - 9 \sqrt { 2 4 + 1 } + 9`

`= - 9 \sqrt { 2 5 } + 9`

`= - 9 * 5 + 9`

`= - 4 5 +9`

`= - 3 6`

Answer 2

f(g(x)) = -9(sqrt(x + 1) ) + 9

-36

Explanation:

This is easier to see if you use the expanded notation.

f(g(x)) = ?

But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so

f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)

f(g(x)) = -9(sqrt(x + 1) ) + 9

Edit to get the numerical answer.

This should be your answer or the expression that will give you the answer.

f(g(24)) = -9(sqrt(24+1) ) + 9

f(g(24)) = -9sqrt(25) +9

f(g(24)) = - 9*5 + 9

f(g(24)) = - 45 + 9

f(g(24)) = - 36