Question

hod would i write the domain and range for f(x) = (√3-x) + 2

Answer 1

Let's do the domain first: you can't take the square root of a negative number, so 3-x>=0

Answer 2

So...?

Answer 3

@thomas9 sorry late reply. domain: {x ≤3 }

Answer 4

right,so thats the domain.

for the range: the square root is >=0, so all values of f>=?

Answer 5

f ≥ 2

Answer 6

right so the range is everything>=2

Answer 7

how come when we're looking for the range we don't include the + 2 part? :S

Answer 8

you mean the domain?

Answer 9

yeah

Answer 10

the domain is the set of all values of x that you can put into the function. So you look for roots or logarithms or places where you might divide by zero. the +2 doesnt affect the values you can put in.

Answer 11

so say i was given the equation p(x) = (√x^2 - 5)

the domain would be x ≤ -√5 ?

Answer 12

√(x^2 -5)?

Answer 13

i mean yeah

Answer 14

it'd be x>=√5 or x<=-√5

but i believe you get the point, right?

Answer 15

oh okay :) and yeah i get it. thanks!

Answer 16

cool, you're welcome.