domain (1 Viewer)

[omgmynameislong]

Whats the domain of inverse sinx . inverse cos x/2

 

[Lukybear]

-1<=x<=1 since sinx would not exist beyond it.

 

[omgmynameislong]

What about inv tan (2x-1)^1/2

 

[ohexploitable]

Just a guess...

x=>1/2

 

[omgmynameislong]

lol i meant x^2 -1 inside the brackets so...

inv tan (x^2-1)^1/2

 

[Drongoski]

Domain for:





Note: [2, 5] means 2 <= x <= 5

(2, 5) means 2 < x < 5

 

[ohexploitable]

oh wait... i fail...

 

[Trebla]

lol i meant x^2 -1 inside the brackets so...

inv tan (x^2-1)^1/2

I assume you mean tan^-1[(x² - 1)^0.5]?
Note that the natural domain of tan^-1x is all real x, hence the only restriction lies in the square root:
x² - 1 ≥ 0
=> x ≥ 1 or x ≤ - 1

 

[Pwnage101]

Domain for:





Note: [2, 5] means 2 <= x <= 5

(2, 5) means 2 < x < 5

Domain for arctan is all R

 

[omgmynameislong]

I assume you mean tan^-1[(x² - 1)^0.5]?
Note that the natural domain of tan^-1x is all real x, hence the only restriction lies in the square root:
x² - 1 ≥ 0
=> x ≥ 1 or x ≤ - 1

ah i see lol. Was thinking all real x but then roots are bigger than 0 :\. ty.

 

[nikkifc]

Domain for:





Note: [2, 5] means 2 <= x <= 5

(2, 5) means 2 < x < 5

They don't use that notation at HSC level I believe (although you can find Coroneos alternating between it and the latter notation in his earlier books).