Answer:
[tex]x^2-x+7[/tex]
Step-by-step explanation:
[tex](f-g)(x)[/tex]
This means we have have to subtract the g function from the f function
[tex](f-g)(x)=(x^2+2)-(x-5)[/tex]
Distribute the subtraction signs
[tex](f-g)(x)=(x^2+2)-x+5[/tex]
Combine like terms
[tex]=x^2-x+7[/tex]
