What is the domain of E(x)=sqrt(x^2-4)+sqrt(9-3x) ?

The domain of E(x)=sqrt(x^2-4)+sqrt(9-3x) is x<=-2\lor 2<= x<= 3

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domain of E(x)=sqrt(x^2-4)+sqrt(9-3x)

domain

E (x) = x^{2} - 4 + 9 - 3 x

x \leq - 2 or 2 \leq x \leq 3

Interval Notation

(- \infty, - 2] \cup [2, 3]

Solution steps

Find non-negative values for radicals:

x \leq - 2 or 2 \leq x \leq 3

The function domain

x \leq - 2 or 2 \leq x \leq 3

What is the domain of E(x)=sqrt(x^2-4)+sqrt(9-3x) ?
The domain of E(x)=sqrt(x^2-4)+sqrt(9-3x) is x<=-2\lor 2<= x<= 3