Question

What values are excluded from the domain and range of the function f(x)=x+3/2x+5

Domain: x does not equal to -2
Range: y does not equal to 2

Domain:x does not equal to -5/2
Range: y does not equal to 1/2

Domain: x does not equal to -5/2
Range: y does not equal to 2

Domain: y does not equal to 1/2
Range: x does not equal to -5/2

Answer 1

If you mean:

\[f(x)=\frac{ x+3 }{ 2x+5 }\]
Your domain can't include any values of x that make the denominator 0, because you can't divide by 0. This means x cannot equal -5/2.

Because the numerator and denominator have the same power of x (i.e. x^1), there will be a horizontal asymptote at y=1/2, which you get by dividing the coefficients of x.

The second option is your answer!

Answer 2

Thanks!!