# Functions and Equations Quiz

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

Let $latex f(x)=x^{3}+5$, and $latex g(x)=3x$.

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

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

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

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

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

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)

**This question is part of theMath SL Online Revision Course**

(but keep in mind that at least the first question of each topic is free!)