Drewkatski
  • Drewkatski
Hi I don't understand how to go about this question. thanks in advance for help. The domains of these functions are the set of all positive real numbers, Find their ranges, 1. f(x)=2x+7 2. f(x)=x^2-1
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Drewkatski
  • Drewkatski
@nincompoop
alekos
  • alekos
the domain is all the possible x values which in this case is x>0 the range is all the possible y values
welshfella
  • welshfella
Note: number 2 - what sign is a square number?

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welshfella
  • welshfella
- if x is real can a square number ever be negative?
welshfella
  • welshfella
In any case x>0 as alekos has said so what does that make the range of values of x^2?
amoodarya
  • amoodarya
\[x>0 \rightarrow 2x >0 \rightarrow 2x+7 >0+7\\x> 0 \rightarrow x^2 >0 \rightarrow x^2-1>0-1\]
alekos
  • alekos
Nice answer amoodarya
Drewkatski
  • Drewkatski
Sorry I was afk, thanks to all for answering
Drewkatski
  • Drewkatski
@amoodarya how do I apply this to one of the later questions: f(x) = (x+2)^2-1
phi
  • phi
for f(x)=2x+7 if x>0 then f(x) will be bigger than 7 the range is y>7
alekos
  • alekos
with f(x) = (x+2)^2 -1 just apply the same procedure x>0 x+2>2 and so on until you get f(x) > ......

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