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I need the domain

make sure
\[5-e^{2x}\geq 0\]

ok but im stuck there

\[5\geq e^{2x}\]
\[\ln(5)\geq 2x\]
\[\frac{\ln(5)}{2}\geq x\]

so the domain would be

I don't know how to write the domain for it because I keep getting it wrong

maybe they want a decimal?

How can I write it they give me this format ([ ]) U ([ ])

\[x<=(\ln(5))/(2)_(-I,(\ln(5))/(2)]\]

ok thanks

how can i find the inverse of that same question?

i get a big equation that doesnt make any sense

ok thanks