Take this Quiz: Higher Maths: functions, graphs, exponentials and logarithms | Zestly

Question 1

Given $f(x) = 2x + 1$ and $g(x) = x^2$, what is the value of $f(g(3))$?

Accepted Answer

$19$

Answer

$37$

Answer

$49$

Answer

$13$

Question 2

If $f(x) = 3x - 5$, what is the inverse function $f^{-1}(x)$?

Accepted Answer

$\frac{x + 5}{3}$

Answer

$\frac{x - 5}{3}$

Answer

$3x + 5$

Answer

$\frac{1}{3x - 5}$

Question 3

The graph of $y = f(x)$ is transformed into the graph of $y = f(x - 3) + 2$. How has the graph moved?

Accepted Answer

3 units to the right and 2 units up

Answer

3 units up and 2 units to the right

Answer

3 units to the left and 2 units up

Answer

3 units to the right and 2 units down

Question 4

For which values of $x$ is the function $f(x) = \log_3(x - 4)$ defined?

Answer

$x \geq 4$

Answer

$x > 0$

Answer

$x 
eq 4$

Answer

$x > 4$

Question 5

Evaluate $\log_2 40 - \log_2 5$.

Answer

$\log_2 35$

Answer

$35$

Answer

$3$

Answer

$8$