Find the Domain of the function step by step {√(4-x)+√(3+x)}÷{x^2-1}

Question

Find the Domain of the function step by step {√(4-x)+√(3+x)}÷{x^2-1}

Answer 1

[-3,-1)U(-1,1)U(1,4] is the domain

x cannot be any value that makes the denominator =0 or makes a square root of a negative number

check the answer by trying x=-4, 0, 3, and 5, x values outside the 3 intervals. They should make f(x) either undefined or imaginary

Answer 2

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