Question

HELP PLEASE! What’s the domain and range?

Answer 1

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

$\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}$

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 $\frac{f(x)}{g(x)}$).

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