Question

Which description compares the domains of Function A and Function B correctly?

Answer 1

Given,

The expression of the function A is,

`f(x)=\sqrt[\placeholder{⬚}]{(-x)}`

The graph of the function B is,

Required

The domain of the function A and function B.

For the function A, if the value of x is positive real number or the number greater than 0, then the value of y will be imaginary number. Which can be neglected.

Hence, the domain of the function A is set of real numbers less than or equal to 0.

For function B, it is clearly seen from the graph that the function have the value of x as the set of all real number less than or equal to 0.

Hence, the domain of the both function is set of real numbers less than or equal to 0.