Functions

The three functions are $f(x) = \dfrac{x}{4} - 3$, $g(x) = 6x - 7$, and $h(x) = 2^x$.

Feb/March 2017

The functions are $f(x)=7-x$, $g(x)=4x+2$, and $h(x)=15-x^{2}$.

Feb/March 2018

The functions are $f(x)=4x-1$, $g(x)=x^2$, and $h(x)=3^{-x}$.

Feb/March 2020

The function is given by $f(x) = x^3 + 1$.

Feb/March 2023

The functions are $f(x)=2x-1$, $g(x)=3x+2$, $h(x)=\frac{1}{x}$, $x\neq0$, and $j(x)=x^2$

Feb/March 2023

$f(x)=\frac{1}{x},\; x\ne0 \qquad g(x)=3x-5 \qquad h(x)=2^x$

Feb/March 2024

The function is defined by $f(x)=5-4x$.

Feb/March 2025

The rule is $f(x) = 5 - 3x$.

May/June 2015

The functions given are $f(x) = 3x + 5$ and $g(x) = x^2$.

May/June 2015

The functions are $f(x)=2x-1$, $g(x)=x^2+x$, and $h(x)=\dfrac{2}{x},\; x\neq 0$.

May/June 2015

Given $f(x)=2x+1$, $g(x)=x^2+4$ and $h(x)=2^x$.

May/June 2016

The given functions are $f(x) = 5x + 7$ and $g(x) = \frac{4}{x - 3}$, with $x \ne 3$.

May/June 2016

The functions are given by $f(x) = 3 + 4x \quad g(x) = 6x + 7$.

May/June 2017

The functions are $f(x) = 3x - 2$, $g(x) = x^2$, and $h(x) = 3^x$.

May/June 2017

The functions are $f(x) = 5 - 2x$ $g(x) = x^2 + 8$

May/June 2018

Find the value of $y$ for $x=6$.

May/June 2018

The functions are given by $f(x) = 2x - 3$ and $g(x) = x^2 + 1$.

May/June 2018

The function is defined as $f(x) = 2x + 3$.

May/June 2019

The functions are $f(x) = 7x - 2$, $g(x) = x^2 + 1$, and $h(x) = 3^x$.

May/June 2019

Take $f(x) = x^2 - 25$  $g(x) = x + 4$.

May/June 2021

The functions are $f(x) = 3 - 2x$, $g(x) = x^2 + 5$, and $h(x) = x^3$.

May/June 2021

$f(x) = 7x - 8$, $g(x) = \frac{4}{x} + 5$, with $h(x) = 2^x + 1$.

May/June 2022

The functions are $f(x) = kx^2$, $g(x) = \frac{1}{x}$, $h(x) = \frac{7x - 2}{5}$ and $j(x) = \frac{3 - 10x}{14}$.

May/June 2022

The functions are given by $f(x)=2x-1$, $g(x)=3x-2$, $h(x)=\dfrac{1}{x}$, with $x \neq 0$, and $j(x)=5^x$.

May/June 2022

Find $y$ for $x = 1$.

May/June 2023

The function can be expressed as $f(x) = 5x + 2$.

May/June 2023

Find the value of $y$ for $x = 22$.

May/June 2023

The functions are given by $f(x)=6x-7$ and $g(x)=x^{-3}$.

May/June 2023

The functions are given by $f(x) = x - 4$, $g(x) = 2x + 5$, and $h(x) = 3^x$.

May/June 2023

The rule for the function is $f(x) = 3^x + 2$.

May/June 2024

$f(x)=4x+1$, $g(x)=6-2x$, $h(x)=3^{x-2}$

May/June 2024

Solve the equation $3x - 8 = 6 - 4x$.

May/June 2024

The functions are given by $f(x) = 2x + 5$, $g(x) = x - 4$ and $h(x) = 5^x$.

May/June 2025

The functions are $f(x) = x^3$, $g(x) = 3x - 5$, and $h(x) = 2x + 1$.

Oct/Nov 2015

The functions are $f(x) = 2x + 5$, $g(x) = 2^x$, and $h(x) = 7 - 3x$.

Oct/Nov 2015

We have $f(x) = x^2\;\;\; g(x) = \dfrac{x - 3}{2}$.

Oct/Nov 2016

Determine $y$ for $x = -6$.

Oct/Nov 2016

Let $f(x)=5x-3$ while $g(x)=x^2+6x+1$.

Oct/Nov 2017

The functions are $f(x) = 1 - 2x$, $g(x) = x + 4$, and $h(x) = x^2 + 1$.

Oct/Nov 2017

The functions are given by $f(x) = 7 + 3x$, $g(x) = x^4$ and $h(x) = 3^x$.

Oct/Nov 2018

For part (a), $f(x) = x^3$ and $g(x) = 5x + 2$.

Oct/Nov 2018

The functions are $f(x)=3x+4$, $g(x)=2x-1$ and $h(x)=3^x$.

Oct/Nov 2018

The functions are defined by $f(x) = 3x - 5$ and $g(x) = 2^x$.

Oct/Nov 2019

The functions $f(x) = 7 - 2x$, $g(x) = \frac{10}{x}$, $x \ne 0$, and $h(x) = 27^x$ are provided.

Oct/Nov 2019

$f(x) = 2x - 3$, $g(x) = 9 - x^2$, $h(x) = 3^x$.

Oct/Nov 2019

Find what $a$ is.

Oct/Nov 2020

The functions are defined as $f(x) = 4 - 3x$, $g(x) = x^2 + x$, and $h(x) = 3^x$.

Oct/Nov 2020

The functions are defined by $f(x) = 2^{x-3}$, $g(x) = 2x - 1$, and $h(x) = \frac{5}{x - 4}$.

Oct/Nov 2021

Find $x$ for which $f(x)=-5$.

Oct/Nov 2021

$f(x)=x^2$, $g(x)=\frac{x+5}{2}$, $h(x)=7x-3$.

Oct/Nov 2022

The functions are defined as $f(x) = 5x - 3$, $x > 1$, and $g(x) = \frac{10}{x - 2}$, $x \ne 2$.

Oct/Nov 2022

Given functions are f(x) = $10-x$, g(x) = $\frac{2}{x}$, $x \ne 0$, h(x) = $2^x$, and j(x) = $5-2x$.

Oct/Nov 2022

The functions are $f(x) = (3x + 1)(x + 5)(x - 4)$, $g(x) = 2x - 3$, and $h(x) = 4^{2x - 1}$.

Oct/Nov 2023

The functions are $f(x)=1-3x$, $g(x)=(x-1)^2$ and $h(x)=\frac{3}{x}, x \ne 0$.

Oct/Nov 2023

The functions are given by $f(x)=5x-3$, $g(x)=64^x$ and $h(x)=\frac{2}{x+1}$, $x\neq-1$.

Oct/Nov 2023

With $f(x) = 7 - 3x$ and $g(x) = x^2 - 16$.

Oct/Nov 2024

$f(x) = 2x - 5$ together with $g(x) = x^2 - 2x$.

Oct/Nov 2024

The functions are given by $f(x)=2x+5$, $g(x)=1-2x$, $h(x)=\frac{1}{x+1}$, $x\ne-1$, and $j(x)=2^x$.

Oct/Nov 2024

Using $f(x)=2x+5$, the expression $f(x)f(x)-f(f(x))=ax^2+bx+c$ is obtained.

Oct/Nov 2025

The functions are $f(x)=\frac{21}{2x-1}$, $x\neq\frac{1}{2}$, and $g(x)=3x+4$.

Oct/Nov 2025

$f(x)=7^{x-4}$

Oct/Nov 2025

The functions are given by $f(x)=5^x$, $g(x)=3x-2$, and $h(x)=x^2+1$.

Oct/Nov 2025