Find all values of x for which the graph of f lies above the graph of g

Question

f(x)=4x; g(x)=1/x

(Answer in interval notation)

Answer 1

4x = 1/x

x^2 = 1/4

x = +/-1/2

0<x< 1/2 f(x)>g(x)

and -infinity<x-1/2

all real numbers except -1/2<x <1/2

y=4x is a straight line

y = 1/x is a rectangular hyperbola