Respuesta :

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(f-g)(x)=2x+1-(x^2-7)



(f-g)(x)=2x+1-x^2+7


(f-g)(x)= -x^2+2x+8

Answer:

The required answer is: [tex]-x^2+2x+8[/tex]

Step-by-step explanation:

We have been given the two function:

[tex]f(x)=2x+1[/tex]

And [tex]g(x)=x^2-7[/tex]

We have to find (f-g)(x):

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](2x+1)-(x^2-7)[/tex]

[tex]2x+1-x^2+7[/tex]

[tex]-x^2+2x+8[/tex]

We will get the quadratic expression after the prescribed operation been applied.

Hence, the required answer is: [tex]-x^2+2x+8[/tex]