To find FoG ( or F of G) you put the equation of G in for the X of F
FoG = [tex] \frac{8x}{x-5} [/tex] The domain is All Except 5 since it makes the bottom 0
GoF = [tex]- \frac{5x}{8} + \frac{1}{8} [/tex] The domain is -Infinity to Infinity
FoG --- The picture --- You want the denominator the same for both of the numbers. By turning 1 into 1x/x it still stays 1 because the x's cancel out, but it can group with the 5.
Next you can multiply both sides (top and bottom) by x and get the final product.
GoF --- Multiply both sides by 5x+1 and get the final product