f(x) = x2 + 1 g(x) = 5 – x(f + g)(x) =A). x2 + x – 4B). x2 + x + 4C). x2 – x + 6D). x2 + x + 6

Answer:Option (c) is correct.[tex](f + g)(x)=x^2-x+6[/tex]Step-by-step explanation:Given : [tex]f(x)=x^2+1\\\\g(x)=5-x[/tex]We have to find (f + g)(x) Using  property of  addition  of functions(f + g)(x) = f(x) + g(x)Substitute , we get, [tex](f + g)(x)= f(x)+g(x)\\\\(f + g)(x)= x^2+1+5-x\\\\[/tex]On Simplifying further , we get,[tex](f + g)(x)=x^2-x+6[/tex]Thus, option (c) is correct.[tex](f + g)(x)=x^2-x+6[/tex]