# Functions and Equations Quiz

## Make sure to try these on a piece of paper first

#2-1 Paper 1 Difficulty: Medium Let $f(x)=x^{3}+5$, and $g(x)=3x$.

a) Find $g(f(-1))$.

b) Find $f^{-1}(x)$.

#2-2 Paper 2 Difficulty: Medium

Let $f(x)=x^{2}+2$, and $g(x)=x+1$.

a) Find $f(g(x))$.

b) The vector $\begin{pmatrix} 2\\ 1 \end{pmatrix}$ translates the graph of $f(g(x))$ to the graph of $h(x)$. Find the coordinates of the vertex of $h(x)$.

#2-3 Paper 1 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-4 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-5 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-6 Paper 1 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-7 Paper 1 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-8 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-9 Paper 1 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#2-10 Paper 1 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)