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, ∞)

Question

Vazquez

Mathematics

16 January, 06:38

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, ∞)

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Answers (1)

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Keyla Fox · Answer 1

(-∞, 5/3) and (5/3,∞)

Step-by-step 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,∞)