Consider the graphs with equations and .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the graphs with equations

y = \frac{4}{x}

and

y = x + 3

. (1) Solve

\frac{4}{x} = x + 3

using algebra. (2) Use technology to plot the graphs on the same set of axes. (3) Hence solve for

x

\frac{4}{x} > x + 3