This math topic focuses on determining the function domains where functions involve the ratio of the square root of a linear expression to the square root of a quadratic expression with real roots. Students are asked to identify the correct set that describes the domain of such functions in multiple-choice format. This topic aims to strengthen skills in analyzing the behavior of function denominators, particularly concerning the conditions that allow for real and defined outputs, such as ensuring non-negative values under the square roots and non-zero quadratic expressions. This is foundational in understanding function behavior in higher mathematics, particularly in algebra and calculus.

more

Function Domain - Fraction Root of Linear over Root of Quadratic (Real Roots) to Domain Definition

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

0:00.0


What set describes the domain of this function?

f(x)=1x+13x2+9x0f(x) = \frac{\sqrt{1x+1}}{\sqrt{3x^2+9x-0}}

?