Question

4.1.d.i.ys:
2-1: state the non-permissible
a. \\(\frac{x - a}{x(x + b)}\\)
b. \\(\frac{2x - 4}{8x^3}\\)
c. \\(\frac{d}{d(d - 6)}\\)

Explanation:

Step1: Set denominator to 0 (part a)

$x(x+b)=0$

Step2: Solve for x (part a)

$x=0$ or $x+b=0 \implies x=-b$

Step3: Set denominator to 0 (part b)

$8x^3=0$

Step4: Solve for x (part b)

$x^3=0 \implies x=0$

Step5: Set denominator to 0 (part c)

$d(d-6)=0$

Step6: Solve for d (part c)

$d=0$ or $d-6=0 \implies d=6$

Answer:

a. $x=0$ and $x=-b$
b. $x=0$
c. $d=0$ and $d=6$