algebra 2 problem

Question

Could someone help me answer this please find the function of f defined by f (x) = 2x/x^2+8
(a) F(-1) =
(b) F(-x) =
(c) –f(x) =
(d) F(x +h) =
How do I simplify?

Answer 1

(a). f(-1) = 2(-1)/[(-1)²+8] = -2/9

 

(b). f(-x) = 2(-x)/[(-x)²+8] = -2x/(x²+8)

 

(c). -f(x) = -2x/(x²+8) 

 

(d). f(x+h) = 2(x+h)/[(x+h)²+8] = (2x+2h)/(x²+2xh+h²+8)