Question

how do i do this?
find domian and range

Answer 1

Find domain and range of what ?

Answer 2

\[f(x)=\sqrt{x+\frac{ 1 }{x-5 }}\]

Answer 3

for the domain solve the inequation
\[\large x+\frac{1}{x-5}\geq0 \]

Answer 4

D=X greater or equal to 5

Answer 5

no do the addition on the left, first

Answer 6

1/2 (5- square root 21) less than or equal to x less than or equal 1/2 (5+ square root 21)

Answer 7

\[\large \frac{x(x-5)+1}{x-5}\geq0 \]
\[\large \frac{x^2-5x+1}{x-5}\geq0 \]

Answer 8

then solve
\[\large x^2-5x+1=0 \]
and
\[\large x-5=0 \]

Answer 9

yeah thats what i have

Answer 10

i got
\[\large \left[\frac{5-\sqrt{21}}{2},\frac{5+\sqrt{21}}{2}\right]\cup(5,+\infty) \]

Answer 11

i have the first one i forgot to do the last one