Question

Select the correct answer.

If f(x) = (x+1)-¹ and g(x) = -2, what is the domain of f(x) + g(x)?
O A.
O B.
O C.
O D.
all values of x
(-∞Ė-1) , (-1Ė2) , and (2Ė00)
(-∞0, 2) and (2Ė00)
(-∞, -1] and [2,00)

Answer 1

The domain of f(x) + g(x) is all real numbers except x = -1.

Step-by-step explanation:

The domain of a function is the set of all possible input values for which the function is defined. For the function f(x) = (x+1)-¹, the only restriction is that the denominator cannot equal zero, because division by zero is undefined. Therefore, the domain of f(x) is all real numbers except x = -1.

The function g(x) = -2 is a constant function, meaning it is defined for all real numbers.

When adding two functions, such as f(x) + g(x), the domain will be the intersection of the domains of the individual functions. In this case, the domain of f(x) + g(x) will be all real numbers except x = -1.

Learn more about Domain of a function