When looking at a rational function f of x equals the quantity x minus six times the quantity x plus three times the quantity x plus four all divided by the quantity x plus six times the quantity x minus three times the quantity x minus four, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = - 6, x = 3, and x = 4. Angie says that the function is undefined at those x values. Who is correct? Justify your reasoning ...

Question

Mathematics

Brennen Oliver

12 April, 18:22

When looking at a rational function f of x equals the quantity x minus six times the quantity x plus three times the quantity x plus four all divided by the quantity x plus six times the quantity x minus three times the quantity x minus four, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = - 6, x = 3, and x = 4. Angie says that the function is undefined at those x values. Who is correct? Justify your reasoning ...

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Answers (1)

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Ray Dudley · Answer 1

F (x) = (x - 6) · (x + 3) · (x + 4) / (x + 6) · (x - 3) · (x - 4)

x + 6 ≠ 0, x ≠ - 6,

x - 3 ≠ 0, x ≠ 3,

x - 4 ≠ 0, x ≠ 4.

The function is not defined at : x = - 6, x = 3 and x = 4.

Angie is correct.