Question

Find the domain and range of rational function f(x)= x-2/x+2

Answer 1

Answer:

Domain = R - {-2}

Range = R

Step-by-step explanation:

To find Domain:

In the function $\frac{x-2}{x+2}$

x + 2 ≠ 0 (As then denominator will be 0)

x ≠ -2

So x can be any real no. other than -2.

Domain = R - {-2}

To find Range:

f(x) is a real valued function.

For any value of x (other than -2), f(x) will take a real value.

Range = R

Hope it helps you :)