How do I find the domain of
$\displaystyle
y=\sqrt{e^{5x}-2}
$
I have a test in a few hours so thanks for any help I can get!
Hello, lil_cookie!
How do I find the domain of: .$\displaystyle
y\:=\:\sqrt{e^{5x}-2}$
The radicand must be nonnegative.
. . $\displaystyle e^{5x} - 2 \:\geq \:0 $
. . . . .$\displaystyle e^{5x} \:\geq \:2$
. . . . .$\displaystyle 5x \:\geq \:\ln 2$
. . . . . $\displaystyle x \:\geq \:\tfrac{1}{5}\ln2$