Question

Find the domain of the following​

Answer 1

Domain: The values x can take, or the valid inputs of a function.

(i) 1/x

Here, as x is in the denominator, it can't take 0 value. Other than that, all values are possible.

Thus, domain = R - {0}

(ii) √1-x^2

Here, 1-x^2 ≥ 0, as we need a positive value inside the root sign so as to arrive at a real solution.

1 - x^2 ≥ 0

=> 1 ≥ x^2

=> -1 ≤ x ≤ 1

Thus domain = (-1,1)

(iii) (x-2)/(x+3)

Here, x+3 ≠ 0, as it is in the denominator.

Hence, x ≠ -3

Thus, domain = R - {3}

(iv) x + 2

Here, x can take any value as no condition can be applied here.

Thus, domain = R

Answer 2

Answer:

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