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)

the answer is a

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)