can you answer this for me?
finding the domain and range.

y=[tex] \frac{3}{ \sqrt{x+5} } [/tex]


Sagot :

Domain = { x | x > -5}
Because the denominator can not be equal to 0.

[tex] \sqrt{x+5} > 0 [/tex]

[tex]x+5 >0[/tex]

[tex]x>-5[/tex]


Range = { y | y > 0 }

[tex] \sqrt{x+5} = \frac{3}{y}[/tex]

[tex]x + 5 = \frac{9}{ y^{2}} [/tex]

[tex]x = \frac{9}{ y^{2}} - 5[/tex]


* y>0  NOT  y≥0 because the equation is undefined if y = 0