Question

Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)

Answer 1

(-∞, 5/3) and (5/3,∞)

Explanation:

f(x) = (x+4)/ (3x-5)

The domain is the values that x can be

We have one discontinuity or value the x cannot be

The denominator cannot be zero

3x-5 ≠0

3x≠5

x ≠5/3

The domain is all real numbers but x = 5/3

(-∞, 5/3) and (5/3,∞)