Respuesta :

[tex]f(x)=x^2+1[/tex][tex]g(x)=x-4[/tex]

When finding (fog)(x), it means, we input g(x) as x-value for f(x).

[tex]f(x)=x^2+1[/tex][tex](f\circ g)(x)=(x-4)^2+1[/tex][tex]=x^2-8x+16+1[/tex][tex](f\circ g)(x)=x^2-8x+17[/tex]

Now, given this function, we will now substitute the value of x, which is 10.

[tex](f\circ g)(x)=x^2-8x+17[/tex][tex](f\circ g)(10)=(10)^2^{}-8(10)+17[/tex][tex]=100-80+17[/tex][tex](f\circ g)(10)=37[/tex]

Therefore, the answer is A. 37.

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