Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]
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 [tex]\frac{f(x)}{g(x)}[/tex]).
Therefore, range of the function will be (-∞, ∞).
