Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Relationships: Introducing Functions, Exercise 37: Chapter review

Use the functions $f\left(x\right)=x^2-6,$ and $g\left(x\right)=-2x$ to evaluate : $f\circ g^{-1}\left(x\right)$

Use your GDC to help you sketch the graph of the following function and state their domain and range: $y=\left|x^3\right|-2$

Use your GDC to help you sketch the graph of the following function and state their domain and range: $y=2x^4-5x^3+x-2$.

For the following pairs of functions, determine algebraically if they are inverses:

$f\left(x\right)=-4x+2,$ $g\left(x\right)=-\frac{x-2}{4}$

For the following pairs of functions, determine algebraically if they are inverses:

$f\left(x\right)=\frac{1}{2}x-4,$ $g\left(x\right)=-\frac{x-2}{4}$

For the following pairs of functions, determine algebraically if they are inverses:

$f\left(x\right)=\frac{1}{2}{x}^2+4,$ $g\left(x\right)=2x+\frac{1}{4}$

For the following pairs of functions, determine algebraically if they are inverses:

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

State which of the following graphs represent functions, giving reasons for your answer.