Question

HELP PLEASE! What’s the domain and range?

Answer 1

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Explanation:

Given function is,

`(f(x))/(g(x))=(x^2+2x-5)/(2x+2)`

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of
`(f(x))/(g(x))`).

Therefore, range of the function will be (-∞, ∞).