#1

ok so I cannot comprehend the answer to this math problem

F(x) = sqrt of 6 + x - x^2

I had to find the domain of the function

x = 3 and x = -2

the answer was {x| -2 =< x =< 3}

I was able to to do everything such as factoring it and finding the values of the x's but I dont understand how to write it in this format with the inequalites. Can you guys help me?

F(x) = sqrt of 6 + x - x^2

I had to find the domain of the function

x = 3 and x = -2

the answer was {x| -2 =< x =< 3}

I was able to to do everything such as factoring it and finding the values of the x's but I dont understand how to write it in this format with the inequalites. Can you guys help me?

#2

x is greater than -2 and less than 3

domain is x. so if you graphed it it would be near then middle of the graph.

domain is x. so if you graphed it it would be near then middle of the graph.

#3

It comes from the fact that if x is lower than -2 or greater than 3, the bit in the square root is less than zero, which means you can't take the square root.

So x's domain is any real number between -2 and 3, ie -2 < x < 3

Hope that helped.

So x's domain is any real number between -2 and 3, ie -2 < x < 3

Hope that helped.

#4

How do you determine which inequality sign to use though? Basically why =<?

#5

How do you determine which inequality sign to use though? Basically why =<?

because it can equal -2 or 3, and all in between

if it was just < it couldnt equal -2 or 3

#6

because it can equal -2 or 3, and all in between

if it was just < it couldnt equal -2 or 3

and what about if you put it as - 2 >= x >= 3?

#7

and what about if you put it as - 2 >= x >= 3?

ok to explain that i'll split it up

if you have -2 >= x it means x is less than or equal to -2

and if you have x >= 3 it means x is greater than or equal to 3

it isn't possible for x to be less than -2, and greater than 3 at the same time

hope that helps

#8

i learn math in french so this is all so weird to me.

ahah, sorry man, i can't help you out. =/

ahah, sorry man, i can't help you out. =/

#9

odd.. we just covered this exact same thing in my math class today... are you in pre- calc?

#10

odd.. we just covered this exact same thing in my math class today... are you in pre- calc?

No Im not. Its college algebra