Consider the function .

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

Problem

Consider the function

f:x\mapsto x^2-4

. (1) Sketch the graph of

f:x\mapsto x^2-4

and reflect it in the line

y=x

. (2) Does

f

have an inverse function? (3) Does

f

with restricted domain

x\geq0

have an inverse function?