Respuesta :

Answer:

[tex]f(g(1))=11[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]

And we want to find f(g(1)).

So, let's find g(1) first:

[tex]g(x)=-3x+5[/tex]

Substitute 1 for x:

[tex]g(1)=-3(1)+5[/tex]

Simplify:

[tex]g(1)=-3+5[/tex]

Add:

[tex]g(1)=2[/tex]

So:

[tex]f(g(1))=f(2)[/tex]

Now, substitute 2 for x in f(x):

[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]

Multiply:

[tex]f(2)=4+7[/tex]

Add:

[tex]f(2)=11[/tex]

So:

[tex]f(g(1))=11[/tex]

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