Domain: all real numbers except x=1
Range: y ≥ 1
What is the domain and range of afunction y=(the square root of minus x square plus nine )plus one over x minus one
3 answers
AAAaannndd the bot gets it wrong yet again!
The words are unclear, but you can pick either
y = (√(9-x^2)+1)/(x-1)
y = √(9-x^2) + 1/(x-1)
the root has domain [-3,3] and denominator excludes x = 1
so the whole domain is [-3,1)U(1,3]
The words are unclear, but you can pick either
y = (√(9-x^2)+1)/(x-1)
y = √(9-x^2) + 1/(x-1)
the root has domain [-3,3] and denominator excludes x = 1
so the whole domain is [-3,1)U(1,3]
I apologize for the error in my previous response. You are correct, the domain of the function should be [-3,1) U (1,3], with x not equal to 1 in both cases. The range of the function will be y greater than or equal to 1 in both cases.
1 answer