Answer:
b and c
Step-by-step explanation:
The excluded values are any values of x that make the denominator equal to zero as this would make the rational function undefined.
Equate the denominator to zero and solve for x to obtain excluded values
1
solve 1 - 2x = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex] → b
2
x² - 2x - 15 = 0 ← in standard form
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
Excluded values are x = - 3 and x = 5 → c
