C4 Cartesian
I need help with the last part of c) I got the equation 8/4+x^2 how do u with out the domain???
Posted from TSR Mobile
The domain means the range(s) of x for which y=f(x) exists.
Original post by simonli2575
The domain means the range(s) of x for which y=f(x) exists.
The answer in the mark scheme is x ... 0
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Original post by ps1265A
Should say x>0
Original post by TenOfThem
Should say x>0
Why is it the answer?
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Original post by ps1265A
Because 0<t<pi/2
Original post by TenOfThem
Because 0<t<pi/2
I still don't understand :|
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Original post by ps1265A
x = 2cot(t)
Domain: 0<t<=pi/2
What would be the range of x?
Original post by simonli2575
x = 2cot(t)
Domain: 0<t<=pi/2
What would be the range of x?
Domain: 0<t<=pi/2
What would be the range of x?
xER
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Original post by ps1265A
Do you believe that cot(t) can be negative in that range?
Original post by TenOfThem
Do you believe that cot(t) can be negative in that range?
I don't understand why we're referring to cot. The final equation I have got is 8/x^2 + 4, shouldn't I be using this to figure out the domain. It's a transformation of x^2...
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Original post by ps1265A
I don't understand why we're referring to cot. The final equation I have got is 8/x^2 + 4, shouldn't I be using this to figure out the domain. It's a transformation of x^2...
Posted from TSR Mobile
Posted from TSR Mobile
But the values of x are limited to its domain, t.
Original post by ps1265A
I don't understand why we're referring to cot. The final equation I have got is 8/x^2 + 4, shouldn't I be using this to figure out the domain. It's a transformation of x^2...
Posted from TSR Mobile
Posted from TSR Mobile
The range of x is defined at the start of the question by cot(t)
That range remains in place and becomes the domain
Original post by simonli2575
x = 2cot(t)
Domain: 0<t<=pi/2
What would be the range of x?
Domain: 0<t<=pi/2
What would be the range of x?
Why does the domain become the range... we haven't done the inverse of f(x)???
Posted from TSR Mobile
Original post by TenOfThem
The range of x is defined at the start of the question by cot(t)
That range remains in place and becomes the domain
That range remains in place and becomes the domain
Isn't it the range of t that is defined at the start?
Posted from TSR Mobile
Original post by ps1265A
I am not sure why you cannot see that the range of t defines the values that x can take
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