Take this Quiz: A-Level Maths: Algebra and Functions | Zestly

Question 1

Simplify the expression $\frac{x^2 - 4}{x^2 + 4x + 4}$ and state the domain restriction.

Accepted Answer

$\frac{x-2}{x+2}$, $x 
eq -2$

Question 2

Given $f(x) = x^3 - 2x^2 - 5x + 6$, which of the following are factors of $f(x)$?

Accepted Answer

$(x-1)$

Question 3

If $f(x) = 2x + 3$ and $g(x) = x^2$, what is the composite function $fg(x)$?

Accepted Answer

$2x^2 + 3$

Question 4

Which of the following functions are their own inverse (self-inverse)?

Answer

$f(x) = \frac{1}{x}$

Answer

$f(x) = x^2$

Answer

$f(x) = 5 - x$

Answer

$f(x) = 2x + 1$

Answer

$f(x) = \sqrt{x}$

Question 5

Solve the equation $|2x - 5| = 3$.

Answer

$x = 4, x = 1$

Answer

$x = 4, x = -1$

Answer

$x = 1, x = -4$

Answer

$x = 4$ only