Question

i need help finding the domain of this function:
r(p)=√2-5p

Answer 1

did you mean \[\sqrt{(2-5p)}\]

Answer 2

\[\sqrt{2} -5p\]

Answer 3

top one

Answer 4

solve this \[2-5p \ge 0\] because the value under the radical cant be negative

Answer 5

is it p>2/5 ?

Answer 6

-2 from both sides \[-5p \ge -2\]

Answer 7

divide by -5 \[p \le \frac{ 2 }{ 5 }\]

Answer 8

ok but why is this solved as an inequality?

Answer 9

because for radical equations the value under the radical sign has to be 0 or greater (because square root of negatives are not real numbers)

Answer 10

so the domain would be 2/5 ?

Answer 11

no its expressed as an inequality

Answer 12

okay so pretend the problem was r(p)=2-5p what would the domain be

Answer 13

so its \[p \le \frac{ 2 }{ 5 }\]

Answer 14

if it was that it would be all real numbers

Answer 15

rp = 2-5p I mean would be all reals for domain

Answer 16

the reason its an inequality is because radicals have to have number zero or over in the side because radicals of negatives are not real numbers

Answer 17

oh okay thank you i understand now!

Answer 18

great