For f (x) = x/x+1 and g (x) = 8/x, find (fog) (x)

8 / (8+x)

Step-by-step explanation:

f (g (x)) using f (x) = x / (x+1) and g (x) = 8/x

g (x) / (g (x) + 1) write out f (x) but replace every x with g (x) to give you f (g (x))

(8/x) / ((8/x) + 1) replace every g (x) with 8/x

(8/x) / (8/x+x/x) look at the denominator: find a least common multiple by multiplying by x/x

(8/x) / ((8+x) / x) add the fractions in the denominator

8/x*x / (8+x) copy dot flip - cancel the x's

8 / (8+x)