Review question

# Can we find an inverse and sketch a modulus function? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5646

## Question

1. A function is defined by $f:x\mapsto \dfrac{1}{3-2x}$ for all values of $x$ except $x=\dfrac{3}{2}$.

1. Find the values of $x$ which map on to themselves under the function $f$.
2. Find an expression for $f^{-1}$.
3. Evaluate $ff(2)$.
2. Sketch the graph of $y=|x^2-4x+3|$ for the domain $0\le x \le 5$, and state the corresponding range of $y$.