Respuesta :

Answer:

Let's see what to do buddy....

Step-by-step explanation:

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Step (1)

[tex]f(x) = 3x - 2[/tex]

[tex]g(x) = {x}^{2} - 5 [/tex]

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Step (2)

We need to find f(2) first ;

To do this we must put 2 instead of the x in f(x) function.

Let's do it :

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

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Step (3)

Now we are going to find g( f (2) ) ;

Look :

[tex]g( \: f(2) \: ) = g(4)[/tex]

So we want to find g(4) ;

which means we must put 4 instead of the x in g(x) function.

Let's do it :

[tex]g(4) = ({4})^{2} - 5 [/tex]

[tex]g(4) = 16 - 5[/tex]

[tex]g(4) = 11[/tex]

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And we're done.

Thanks for watching buddy good luck.

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