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)

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step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5