f(x)= the square root of x plus 3

x + 3 is under the radical.

thanks

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- August 17th 2008, 05:20 PMfalloutatthediscodomain AND RANGE of a function
f(x)= the square root of x plus 3

x + 3 is under the radical.

thanks - August 17th 2008, 05:26 PMDubulus
- August 17th 2008, 05:30 PMfalloutatthedisco
ooh yes, I remember that now.

now.... how do I find the range?

here's the dilemma... when you find the inverse of that function, the domain of that should be the range of the original function, so y= x^2 - 3

the range for that would be all real numbers, but when graphed, it looks like an asymptote approaching 0. how would that work?

thanks. - August 17th 2008, 06:38 PMDubulus
the range is all the possible outputs of the function. sqrt(x+3) can result in any positive number as long as x > -3. so

f(x) >= 0