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## A dump of our free Chat sessions, in case it is useful. It excludes white boards used during paid sessions.

student : Yes, if f(x) = square root (2t) and f(2t)=f(2+t), what is the value of t ?
tutor3 : ok
tutor3 : t=2
student : can you explain it please?
tutor3 : as f(x)=sqrt(2t).so f(2t)=2*sqrt(t) and f(t+2)=sqrt(4+2t) now f(2t)=f(2+t)now solve and you will get t
student : sorry it's suppose to be f(x) = square root (2x)
tutor3 : ya that was a misatke
tutor3 :
tutor3 : mistake
tutor3 : didi you get the solution
student : I don't see how you got 2
tutor3 : see yiou solve the 2 equations
student : by isolating the variable?
tutor3 : 2*sqrt(t)=sqrt(4+2t.square boths sides
tutor3 : and you will have 4y=4+2t so t=2
tutor3 : sry 4t=4+2t
student : so the 2*sqrt(t)=sqrt(4+2t) just comes from the given equation?
tutor3 : yes
student : ok thank-you
student : I'm still kind of confused
tutor3 : where?
student : the f(+2) = sort (4+2t) and the f(2t)=f(2+t)
student : *f(2t)
tutor3 : see f(x)=sqrt(2x)so f(2)=sqrt(2*2t)=2sqrt(t)
tutor3 : sry f(2t)=sqrt(2*2t)=2*sqrt(t)
tutor3 : andf(2+t)=sqrt(2*(2+t))=sqrt(4+2t)
tutor3 : it is given that f(2t)=f(2+t)
tutor3 : so the 2 equations are equal
tutor3 :
student : so the 2 comes from the equation sqrt. (4+2t)?
tutor3 : you solve 2*sqrt(t)=sqrt(4+2t)
tutor3 : by squaring both sides and you will get t=2
tutor3 : they are equal beacause it is given in the question only
student : I get it now! thanks a lot
tutor3 : welcome
student : ok
student : How much is private tutoring with the white board?

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