Write in the form

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

Problem

Write

\frac{10x+11}{2x+3}

in the form

a+\frac{b}{2x+3}

, where

a

and

b

are constants. (1) Write

\frac{10x+11}{2x+3}

in the form

a+\frac{b}{2x+3}

, where

a

and

b

are constants. (2) Hence describe the combination of transformations which maps

y=\frac{1}{x}

onto

y=\frac{10x+11}{2x+3}