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Exercise 3 Consider the function f:[0,infty )->R given by f(x)=x^(2)+xcos(x) for all x>=0 . Gegeven is de functie f:[0,infty )->R met f(x)=x^(2)+xcos(x) voor alle x>=0

Exercise 3\ Consider the function

f:[0,\\\\infty )->R

given by

f(x)=x^(2)+xcos(x)

for all

x>=0

.\ Gegeven is de functie

f:[0,\\\\infty )->R

met

f(x)=x^(2)+xcos(x)

voor alle

x>=0

.\ 3a Show that the function

f

is one-to-one.\ Bewijs dat de functie

f

injectief is.

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