Question

5.Find the domain of the following function:

y=x+2
__________
x^2 + 2x −8

Select the appropriate response:

A) x equals −4, 2
B) x cannot equal −4, 2
C)Not possible to solve

Answer 1

B) x cannot equal −4, 2

Explanation:

x² + 2x - 8 = 0

When x = -4, 2

When the denominator becomes zero, function becomes undefined

Answer 2

(-∞,∞)

B) x cannot equal -4, 2

Explanation:

The function, y = x + 2, has a domain of (-∞,∞) because the equation will remain true no matter number you plug for x.

For the second question, x would be equal to -2 and 4. You can find this by factoring the equation. x² + 2x - 8 = (x - 2)(x + 4) Your answer should be B