Respuesta :

jcherry99

Answer:

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

-36

Step-by-step 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

alinakincsem

Answer:

[tex]f(g(24))[/tex] = -36

Step-by-step explanation:

We are given the following functions and we are to find [tex]f(g(24))[/tex]:

[tex] f ( x ) = - 9 x + 9 [/tex]

[tex] g ( x ) = \sqrt{x+1} [/tex]

Now finding [tex] f ( g ( 2 4 ) ) [/tex]:

[tex] f ( g ( 2 4 ) ) [/tex] [tex] = - 9 \sqrt { x + 1 } + 9 [/tex]

[tex] = - 9 \sqrt { 2 4 + 1 } + 9 [/tex]

[tex] = - 9 \sqrt { 2 5 } + 9 [/tex]

[tex] = - 9 \times 5 + 9 [/tex]

[tex] = - 4 5 +9 [/tex]

[tex] = - 3 6 [/tex]

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