Excluded values Quiz 1

Question 1

Find the excluded values of the following $$\dfrac{{2{x^2} - 5x - 12}}{{{x^2} - 11x + 28}}$$

Accepted Answer

$$x = 4,7$$

Answer

$$x = 7$$

Answer

$$x = 4$$

Answer

None of these

Question 2

$$f(x) = \dfrac{{{x^2} - 4}}{{{x^2} - 16}}$$ for what value of $$x$$ is the function is undefined?

Accepted Answer

$$x =  - 4$$ and $$x = 4$$

Answer

$$x = 0$$

Answer

$$x =  - 4$$ and $$x = \sqrt 4 $$

Answer

$$x =  - 4$$

Question 3

Find the excluded values of the following algebraic fraction - $$\dfrac{{2{x^2} - 2}}{{2{x^2} + 3x + 1}}$$

Accepted Answer

$$x =  - 1,\dfrac{-1}{2}$$

Answer

$$x = \dfrac{{ - 1}}{2}$$

Answer

$$x =  - 1$$

Answer

$$x =  - 1,\dfrac{{1}}{2}$$

Question 4

Find the extraneous solution for $$\sqrt x  = 2x - 3$$.

Accepted Answer

$$x = 3$$ and $$x = 1$$

Answer

$$x = 1$$

Answer

$$x =  - 3$$ and $$x =  - 1$$

Answer

$$x = 3$$ and $$x =  - 1$$

Question 5

Solve the following expression: $$\dfrac{4}{{x(x - 2)}}\_\dfrac{9}{x} = \dfrac{2}{{x - 2}}$$

Accepted Answer

No solution

Answer

$$0$$ and $$2$$

Answer

$$0$$ and $$ - 2$$

Answer

None of the above