In mathematics, what is the domain of the real-valued function ?
Answer and explanation
Correct answer: C.
- Step 1: The fraction must be with . Step 2. Signs change at and . The fraction is positive when or . Since causes division by zero, the domain is . **Answer: . Why not the others:** gives negative values under the radical, and includes the undefined point .
Practise more Calculus, Functions, Geometry, and Probability.
Free questions with an explanation for every one, and full timed Maturità / Esame di Stato (Italy) mock tests.
More Calculus, Functions, Geometry, and Probability questions
- In mathematics, what is the derivative of the rational function with respect to ?
- In mathematics, what is the value of the limit ?
- In mathematics, which function represents the general solution of the first-order differential equation ?
- In mathematics, what is the area of the region bounded by the parabola and the -axis?
- In mathematics, what is the radius of convergence of the power series ?
- In mathematics, what are the coordinates of the inflection point of the cubic curve ?