Please help, will make the brainliest

fourth month

step-by-step explanation:

it is the one with the most keychains.

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation:

is continuous on its domain of .

is continuous from the left at -1 and continuous from the right at 1.

assuming domain and codomain of all real numbers, function is only defined for nonnegative radicands:

there are many ways of solving a quadratic inequality. here we will reason by cases, using the definition of absolute value.

if then and so the inequality turns into when x ≥ 0. of course, "x≥3 when x≥0" simplifies to x ≥ 3.

or, if , then and so when . of course, "x≤-3 when x < 0" simplifies to x ≤ -3.

so the domain of is

now, is a continuous function since it is a composition of continuous functions. is a polynomial and (the parent) is a root function; both of them are continuous on their domains. therefore, is continuous on its domain of .

by definition, a function is continuous from the left at a number a if and continuous from the right at a number a if .

checking continuity at the end points, note that

and

so is continuous from the left at -1 and continuous from the right at 1.

answer

(9y⁹ + x) / (15x⁶y⁹ + xy⁶)

explanation

(9x⁻¹ + y⁻⁹)/(15x⁵ + y⁻³)  

multiply both the numerator and denominator by x

x(9x⁻¹ + y⁻⁹)/x(15x⁵ + y⁻³)   = (9 + xy⁻⁹) / (15x⁶ + xy⁻³)

multiply both the numerator and denominator by y⁹

y⁹(9 + xy⁻⁹) / y⁹(15x⁶ + xy⁻³) = (9y⁹ + x) / (15x⁶y⁹ + xy⁶)