Functions

This function is given by $f(x) = 2x - 9$.

May/June 2016

The table lists the values taken by the function $f(x)$ for certain values of $x$.

May/June 2016

The function is given by $f(x) = \frac{3x - k}{4}$.

May/June 2017

Let $f(x) = 3 - 2x$ and $g(x) = 4x^3 - 1$.

May/June 2018

Let $f(x)=\frac{1}{3x+2}$.

May/June 2018

$f(x) = 5x - 7$, $g(x) = \frac{x + 4}{3}$.

May/June 2019

The functions are $f(x) = 3(x-2)$ and $g(x) = \frac{7x}{4} - 1$.

May/June 2019

The functions are $f(x) = 2x + 3$ and $g(x) = \frac{12 - 3x}{5}$.

May/June 2021

The functions are defined by $f(x)=3x-5$ and $g(x)=\frac{4x+4}{3}$.

May/June 2021

The function is specified by $f(x)=\dfrac{6x+2}{5}$.

May/June 2022

The function is defined by $f(x)=3x-7$.

May/June 2022

Starting with $f(x) = 10 + 7x$, determine $f^{-1}(x)$.

May/June 2023

The functions are $f(x) = 2 - 3x$ and $g(x) = x - 4$.

May/June 2023

The function is given by $f(x) = 2x - 5$.

May/June 2024

The function is given by $f(x) = \dfrac{2 - 4x}{5}$.

May/June 2024

For $f(x) = \frac{10-x}{3}$, determine $f(-8)$.

May/June 2025

Let $f(x) = 3x - 5$ and $g(x) = 2 - 6x$ be given.

May/June 2025

The function is given by $f(x) = \frac{3 - x}{10}.$

Oct/Nov 2016

The function is defined by $f(x)=4+3x$.

Oct/Nov 2016

The function is $f(x)=3x+7$.

Oct/Nov 2017

Here, $f(x)=\frac{x}{4}$.

Oct/Nov 2017

The function is defined by $f(x) = \frac{3}{x+4}$.

Oct/Nov 2018

The function is given by $f(x) = \frac{2x + 5}{3x}$.

Oct/Nov 2018

The function is defined by $f(x) = \dfrac{5 - x}{x}$.

Oct/Nov 2019

The functions are $f(x) = \frac{3 - 2x}{5}$ and $g(x) = \frac{x - 7}{4}$.

Oct/Nov 2020

Functions together with inverses.

Oct/Nov 2020

The function is $f(x) = \dfrac{6}{2 - x}$.

Oct/Nov 2021

$f(x) = 2x^2 + 7x + 4$ and $g(x) = 2x + 6$.

Oct/Nov 2021

$f(x) = 1 + \frac{3x}{2}$, while $g(x) = \frac{2}{1-x}$.

Oct/Nov 2022

Take $f(x) = x^2 - 7$ and $g(x) = \frac{4 - 3x}{2}$.

Oct/Nov 2022

The functions are given by $f(x) = \frac{x}{4} + 3$ and $g(x) = 2(x - 1)$.

Oct/Nov 2023

The functions provided are $f(x) = 4x + 1$ alongside $g(x) = 2x - 3$.

Oct/Nov 2023

The function is $f(x) = 3x^{2} + 5$.

Oct/Nov 2024

Let $f(x)=\frac{3x-1}{2}$ and $g(x)=5^{x}$.

Oct/Nov 2024

$g(x)=\frac{x}{2}+4$ while $h(x)=3x-1$.

Oct/Nov 2025

The functions are $f(x)=ax+3$ and $g(x)=(x+b)^2$.

Oct/Nov 2025