Question

the graph of f(x)=10/x+4 and the graph of g(x)=x+1/x , at what parts do the graphs of f(x) and g(x) intersect . justify your answer.

Answer 1

There is a common point let it be (x,y) if you substituted it in both and solved them together you will get the intersection

10/x =4 = x + 1/x

9/x = 4

x/9 = 1/4

x = 9/4

y = 10/x + 4

y = 10*4/9 + 4 = 26.5