Find the domain of f(x)= 5x-1/x^2+8x+15. Please help it would be greatly appreciated. Thanks:)?

as typed it is all x ╪ 0....but if you meant , but did not type , [ 5x - 1] / [ x² + 8x + 15 ] , then all x ╪ -3,-5 , as the bottom will be 0 at those values

{x∈R:x≠0}