Question

Determine the domain of the function. f as a function of x is equal to the square root of two minus x.

Answer 1

is it
f(x) = sqrt(2 - x) ?

Answer 2

yes

Answer 3

the domain is the set of possible values of x
Hint: as you have a square root here (2-x) cannot be negative)

Answer 4

- so for example x cannot be equal to 3 as 2-x will = -1 and there are no real square roots of -1

Answer 5

So would it be x is less than or equal to 2?

Answer 6

yes

Answer 7

thanks!

Answer 8

yw

Answer 9

in interval form you would write this as (-infinity, 2]

Answer 10

what about this one?? \[f(x)=\sqrt{x+3}\div(x+8)(x-2)\]

Answer 11

domain of the numerator can be found in similar way as with the first function.
as for the denominator x=-8 and x = 2 cannot be part of the domain because they make the denominator zero.

Answer 12

sorry gotta go right now

Answer 13

its okay! thank you!