anonymous
  • anonymous
Find the range of the function f of x equals square root of the quantity twelve x plus twenty four A.y < or equal to 12 B. y > or equal to 24 C. y < or equal to 0 D. y > or equal to 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@mathstudent55 any ideas im stuck...
welshfella
  • welshfella
f(x) = sqrt(12x - 24)
welshfella
  • welshfella
Hint - there are no real square roots of a negative value

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anonymous
  • anonymous
im still sort of stuck...im not sure what that means?
welshfella
  • welshfella
- so what is the lowest possible value of 12x - 24?
welshfella
  • welshfella
well can 12x - 24 be negative?
anonymous
  • anonymous
2?
welshfella
  • welshfella
look at the hint
welshfella
  • welshfella
no not 2
anonymous
  • anonymous
so then 0?...
welshfella
  • welshfella
right! so what is the range ( the possible values of f(x))
anonymous
  • anonymous
y is < or equal to 0?
welshfella
  • welshfella
12x - 24 cannot be negative because you cannot have a square root of a negative quantity
welshfella
  • welshfella
and the square root must be a positive for y to be a function so:-
welshfella
  • welshfella
Y > or equal to zero
welshfella
  • welshfella
D is the correct option
anonymous
  • anonymous
will you help me with other problems so I have a better understanding?
welshfella
  • welshfella
I only have another 10 minutes but ok

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